A 2.0 mL sample of an acid with an unknown concentration is neutralized by titration with 10 mL of 0.00050 M NaOH solution. What is the pH of the original acid?

The specific heat capacity at constant volume of water vapor is calculated to be 33.1 J/mol·K.

In thermodynamics, heat capacity is defined as the amount of heat required to raise the temperature of a substance by 1 degree celsius.

And, the amount of heat required to raise the temperature of 1 kg of a substance by 1 degree celsius is known as specific heat capacity.

The SI unit of specific heat capacity is SI is joule for every kelvin per kilogram i.e JK⁻¹Kg⁻¹.

For example, the specific heat capacity of water is 4184 JK⁻¹Kg⁻¹, since it takes 4184 joules of energy in order to increase the temperature of 1 kg of water at temperature 1 K.

The specific thermal capacity varies frequently with temperature which can be calculated using the equation:

Cv = 3/2 (R) + 3/2 (R) + 0

R is the gas constant  whose value is 8.314 J/mol·K

Therefore, Cv = 33.1 J/mol·K.

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The intensity of an infrared (IR) absorption band depends on several factors, including:

Concentration of the sample: The intensity of the IR absorption band increases with the concentration of the sample.

Nature of the sample: The intensity of the IR absorption band depends on the chemical nature of the sample, including its functional groups, molecular weight, and structure.

Vibrational frequency of the bond: The intensity of the IR absorption band increases with the vibrational frequency of the bond. Bonds with higher vibrational frequencies absorb more strongly.

Polarizability of the bond: The intensity of the IR absorption band is related to the polarizability of the bond. Bonds that are more polarizable absorb more strongly.

Dipole moment of the molecule: The intensity of the IR absorption band is related to the dipole moment of the molecule. Molecules with higher dipole moments absorb more strongly.

Temperature: The intensity of the IR absorption band decreases with increasing temperature due to thermal effects on the vibrational energy levels.

Interactions with neighboring atoms or functional groups: The intensity of the IR absorption band may be influenced by interactions with neighboring atoms or functional groups, such as hydrogen bonding or steric effects.

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The reason why an experimental design uses multiple reactions coupled together to measure the reaction rate is because this approach offers better accuracy and precision.

The coupled reaction is used to observe the progress of an enzyme-catalyzed reaction where an intermediate in the reaction is used as a substrate. A steady-state rate is determined by measuring the rate of consumption of the intermediate molecule by the enzyme.

The main reason for the use of multiple reactions coupled together is to produce better accuracy and precision. This is because measuring one reaction does not always provide a complete picture of the chemical process in question.

By coupling multiple reactions together, it is possible to obtain a more comprehensive understanding of the chemical process taking place. This approach also allows scientists to determine the rate of reactions more accurately and precisely. This means that the results obtained will be more reliable and therefore more valuable to the scientific community.

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The correct answer is option (B) indigestion tablets dissolving in water to produce carbon dioxide has the fastest reaction rate.

Reaction rate refers to the speed of a chemical reaction. In general, a chemical reaction proceeds at a faster rate if the temperature, pressure, and the concentration of the reactants is higher.

The following are the given options: a. Digestion of breakfast - The digestion of breakfast involves several chemical reactions, but it doesn't occur quickly, and the rate of reaction is slower.

b. Indigestion tablets dissolving in water to produce carbon dioxide - The reaction of indigestion tablets dissolving in water to produce carbon dioxide is an example of a chemical reaction that occurs rapidly. So, this is the fastest reaction rate among all.

c. Frozen meat going bad - The breakdown of frozen meat into various products is a slow process that occurs over a long period. Therefore, it has a very slow reaction rate.

d. Rusting a car frame - Rusting is an oxidation reaction that occurs between iron and oxygen, but it occurs gradually. It has a slower reaction rate.

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The main difference between a parallel and a series circuit is the amount of electricity flowing through each individual component. In a series circuit, the same amount of electricity circulates.

The letter [tex]I[/tex] which is derived from the French term , intensité du courant is usually used to represent current. (current intensity). Current intensity is commonly described by the word "current."

The[tex]I[/tex] symbol was used by André-Marie Ampère to create his force law, which is how the electric current unit is [tex]I[/tex] symbol

The ampere is the [tex]SI[/tex]measure for electrical current. [tex]I[/tex] is a symbol for electrical energy. A wire is said to have a current of[tex]1[/tex] ampere when charge flows through it at a pace of one conservation of mass per second. Example Solutions to the Electric Current Formula.

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The solution with the largest total ion concentration (TIC) is 1.0 M AlCl₃. The correct option is d.

The total ion concentration (TIC) of a solution is the sum of the concentrations of all ions in the solution. When an ionic compound dissolves in water, it dissociates into its constituent ions. The number of ions produced per formula unit of the compound depends on the chemical formula of the compound.

For 1.0 M KNO₃, each formula unit produces 2 ions (K⁺ and NO₃⁻), so the TIC is 1.0 x 2 = 2.0 M. For 1.0 M KCl, each formula unit produces 2 ions (K⁺ and Cl⁻), so the TIC is 1.0 x 2 = 2.0 M. For 1.0 M MgCl₂, each formula unit produces 3 ions (Mg²⁺ and 2 Cl⁻), so the TIC is 1.0 x 3 = 3.0 M. For 1.0 M AlCl₃, each formula unit produces 4 ions (Al³⁺ and 3 Cl⁻), so the TIC is 1.0 x 4 = 4.0 M.

Therefore, among the given solutions, 1.0 M AlCl₃ has the largest total ion concentration (TIC), which is option d.

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Fatty acids receive 2-carbon units from malonyl-CoA, which assigns them to the production of fatty acid chains. Acetyl-CoA is carboxylated into malonyl-CoA by the acetyl-CoA carboxylase enzyme.

A 3-carbon dicarboxylic acid called malonate is linked to Coenzyme A in malonyl CoA. Using the biotin component of the enzyme acetyl-CoA carboxylase, malonate is created from acetyl-CoA by adding CO 2.
A crucial molecule in the metabolism of fatty acids is malonyl-CoA. It is both an allosteric inhibitor of the rate-setting phase in mitochondrial long-chain fatty acid oxidation and the rate-determining intermediary in fatty acid production.
The enzymes known as acetyl-CoA carboxylases (ACCs) catalyse the carboxylation of acetyl-CoA to create malonyl-CoA, which is then used by the enzyme fatty acid synthase (FASN) to create long-chain saturated fatty acids.
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Answer:

Diffusion is the movement of molecules from an area of high concentration to an area of low concentration. It occurs due to the random movement of molecules and is temperature-dependent. Diffusion is important in processes such as gas exchange in the lungs and the absorption of nutrients from the small intestine.

Osmosis, on the other hand, is the movement of water molecules across a semipermeable membrane from an area of high water concentration to an area of low water concentration. In other words, it is the diffusion of water molecules. Osmosis is essential for many biological processes such as the transport of water from the roots to the leaves of plants and the regulation of water balance in animal cells.

Answer:

Diffusion : Tendency of particles in a gas or liquid to become evenly distributed by moving from areas of greater concentration to areas of lesser concentration.

Osmosis : Is the diffusion of water through a differential permeable membrane.

Explanation:

Diffusion example : When a perfume bottle is opened in a corner of a room the scent becomes distributed throughout the air in the room

Osmosis : Mesh bag filled with marbles and sand only the sand goes through

Avogadro's number is used by chemists to answer questions about particles and mole relationship.

Avogadro's number is defined as the number of units in one mole of any substance. Its molecular weight is measured in grams that is equal to 6.02214076 × 1023. The units may be used for this electrons, atoms, ions, or molecules, depending on the nature of the substance and the character of the reaction. All chemists use the mole unit to represent 6.022 × 10 23 things whether the things are atoms of elements or molecules of compounds. The Avogadro's number is important most important in measuring the mole concept because this number of atoms or molecules has the same mass in grams as one atom or molecule has in atomic mass units.

Avogadro's number represents the number of atoms in one gram atom of an element or the number of molecules in one gram mole of a compound. If we divide the atomic mass of an element by actual mass of its atom we get the value of 6.022×1023.

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There are 13 ions in 6.5 moles of Cu2+ ions.  It is also used in stoichiometry calculations to determine the amount of reactants and products in a chemical reaction.

What is Molar Mass?

Molar mass is the mass of one mole of a substance, expressed in grams per mole (g/mol). It is calculated by adding up the atomic masses of all the atoms in a molecule or formula unit of a compound. The molar mass of an element is the atomic mass of the element expressed in g/mol.

Molar mass is an important concept in chemistry, as it allows us to convert between mass and moles of a substance, and to determine the amount of substance present in a given mass.

To find the number of ions in 6.5 moles of Cu2+, we need to first determine the total number of ions present in 6.5 moles of Cu2+ ions.

One mole of Cu2+ ions contains 2 ions (as the 2+ charge is carried by each ion).

So, the total number of ions present in 6.5 moles of Cu2+ ions can be calculated as:

Number of ions = 2 ions/mole x 6.5 moles

Number of ions = 13 ions

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The age of the rock can be calculated as follows. In this case, the half-life of potassium-40 is 2.64 billion years.

The rock has only 1/8 of its original potassium-40 remaining. It's requested to find the age of the rock.Step-by-step explanation:
The decay formula is given as:
N(t) = N0 * e^(-λt)
where N0 is the initial amount of potassium-40, λ is the decay constant (related to the half-life by λ = ln(2) / t1/2), and N(t) is the amount remaining after time t.

In this problem, we are given that the rock has only 1/8 of its original potassium-40 remaining. This means that N(t) = (1/8)N0, and we want to solve for the time t.

Taking the natural logarithm of both sides of the first equation and rearranging, we get:
t = (1/λ) * ln(N0/N(t))
Substituting in the given values, we have:
t = (1/λ) * ln(N0 / (1/8)N0)
t = (1/λ) * ln(8)
t = (ln 8) / (λ / ln 2)

To find the value of λ, we can use the half-life of potassium-40:
t1/2 = 1.25 billion years = 1.25 * 10^9 years
λ = ln(2) / t1/2
λ = ln(2) / (1.25 * 10^9)
λ = 5.543 * 10^-10 /year

Substituting this into the previous equation, we have:
t = (ln 8) / (5.543 * 10^-10 /year / ln 2)
t ≈ 2.64 billion years

Therefore, the rock is approximately 2.64 billion years old.

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The age of the rock made up of potassium-40 is approximately 3.74 billion years old.

Potassium-40 decays to argon-40 has a half-life of 1.25 billion years. Suppose you find a rock that has only 1/8 of its original potassium-40 still remaining. Half-life of potassium-40, t1/2 = 1.25 billion years, Amount remaining = 1/8 of the original potassium-40.

Let the original amount of potassium-40 be P.

Rate of decay of potassium-40 = kP = P0 e^(-kt) Where, P0 is the original amount of potassium-40 and t is the time.

Arranging the above equation for t, we get: t = ln(P0/P)/k

Taking natural log both sides

P/P0 = (1/2)^(t/t1/2)ln(P/P0) = ln(1/2) t/t1/2t = (t1/2/ln(1/2)) ln(P0/P)

Substituting the given values,

t = (1.25 x 10^9/0.693) ln(1/(1/8))= (1.8 x 10^9) ln(8)= (1.8 x 10^9) (2.08)= 3.74 x 10^9 years

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The equilibrium shift in reverse direction. adding the Hcl increases the jobs of H+ and U-  in the answer  to set up the equilibrium more reactant are formed



To reach equilibrium, the device must growth the quantity of reactants, so an equilibrium shift within the opposite course is located. The reaction of the SbClz in solution with the brought H' and Cl' in solution also contributes to the shift in equilibrium, as more merchandise are fashioned. The internet effect of the addition of HCl is an equilibrium shift within the reverse direction.

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Answer:

8

Explanation:

The chemical formula given is:

2 CH3CHC(OH)2 SH

To determine the number of oxygen atoms, we need to count the total number of oxygen atoms in each molecule and multiply it by the number of molecules.

Let's break down the formula:

CH3CHC(OH)2 represents one molecule.

In this molecule, there are 2 oxygen atoms present in each of the two (OH) groups.

Therefore, the total number of oxygen atoms in one molecule of CH3CHC(OH)2 is 2 × 2 = 4.

Now, we have 2 molecules of CH3CHC(OH)2, so the total number of oxygen atoms will be:

2 × 4 = 8

Therefore, the total number of oxygen atoms represented by the chemical formula is 8

[tex] \: [/tex]

There are four chirality centers in an aldohexose.

Chirality centers are atoms in a molecule that can exist as two non-superposable mirror images, meaning that the molecule can exist in two versions that are mirror images of each other. An aldohexose is a type of sugar containing six carbon atoms and an aldehyde group, and four of its six carbon atoms can exist in two mirror-image versions.

The other two carbon atoms are connected to four hydrogen atoms, which prevents them from being chirality centers. To further explain, let's look at an example: glucose. Glucose has four chirality centers, located at the second, third, fourth, and fifth carbon atoms in the chain.

Each of these chirality centers has two possible arrangements. As a result, glucose can exist in sixteen different configurations.

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Acid diet Positively stained viable microorganisms appear as parallel bacilli or spherical aggregates. Non-viable organisms break, clot, or adversely discolour.

To determine if a patient has TB, sputum, or mucus, is frequently tested for Mycobacterium tuberculosis. Because this bacteria is fully acid-fast, the dye is retained throughout the entire cell. The patient has TB, according to a positive acid-fast smear test report.
Acid-fast bacteria are gramme-positive, but the exterior membrane or envelope of the acid-fast cell wall also includes significant quantities of glycolipids, particularly mycolic acids, which in the genus Mycobacterium account for about 60% of the acid-fast cell wall. These glycolipids, in addition to peptidoglycan, are known as glycolipids.
Examples of acid-fast bacteria include Mycobacterium tuberculosis (the cause of TB in people, which affects the lungs), Mycobacterium bovis, Mycobacterium avium, Nocardia species, and Rhodococcus equi.

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Answer:

To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is held constant. This can be expressed as:

P1V1 = P2V2

where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

We can plug in the given values and solve for P2:

P1 = 1200 mmHg

V1 = 88 ml

V2 = 130 ml

P1V1 = P2V2

1200 mmHg * 88 ml = P2 * 130 ml

105600 mmHgml = 130P2 mlmmHg

105600 / 130 = P2

P2 = 811.08 mmHg

Therefore, the final pressure is approximately 811.08 mmHg.

Answer:   150-116 = 34

Explanation: no. of neutrons in Ir ⇒ 193-77= 116

                      no. of neutrons in Pu ⇒ 244-94 = 150

so diffrence is 34

The ratio of acid to base that is required to prepare a buffer with a pH of 4.0 using the conjugate pair hcooh/hcoo-1of (k_a = 1.78 x 10-4) is [HCOOHI]/[IHCOO-] = 3.99.

How to prepare buffer solution?

A buffer solution is a solution of a weak acid or base along with its salt. The main function of the buffer solution is to retain the pH value of the solution almost constant, even if a small quantity of a strong acid or base is added to it. The formula for buffer solution is BH+ + A-.

The ratio of the concentrations of conjugate acid and base species in a buffer solution is called buffer capacity.

It measures how much of an acid or base can be added to a solution before a significant change in pH occurs. The ideal buffer pH range is within 1 pH unit of the dissociation constant (pKa).

pH = pKa + log [A-] / [HA]

In this question, the given pH is 4.0 and the given pKa is 1.78 x 10-4.

Now, substituting these values in the above equation, we get pH = pKa + log [A-] / [HA]. 4.0 = -log1.78 x 10-4 + log [A-] / [HA] 4.0 + 4.25 = log [A-] / [HA]

Antilog of both sides to eliminate the logarithm from the right side of the equation

101.25 = [A-] / [HA]A- / HA = 101.25[HA] = A- / 101.25Ratio = HA / A-= [HA] / [A-]= 1 / 101.25= 0.0099= 1 / 101

Therefore, the required ratio of [HCOOHI] to [IHCOO-] is [HCOOHI] / [IHCOO-] = 3.99.

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Alpha particles are substantially larger and heavier than beta particles or gamma rays, which is why engineers chose a fuel that produces alpha particles as opposed to beta particles or gamma rays.

RTGs can be used in space missions when size, weight, and dependability are important considerations, although fusion and fission reactors are far larger and more sophisticated than RTGs.

It is simpler to build an effective energy conversion system since alpha decay is a highly predictable process that generates a consistent supply of energy.

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The total energy required to heat 38.0 g of liquid water from 55 °C to 100 °C and change it to steam at 100 °C is 94.4 kJ.

First, let's break the problem into two parts:

1. Heating the liquid water from 55 °C to 100 °C

2. Changing the liquid water to steam at 100 °C

For part 1, we can use the formula:

Q = m * c * ΔT

Where Q is the amount of heat energy required, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

Plugging in the values we have:

Q = 38.0 g * 4.18 J/goC * (100 °C - 55 °C)

Q = 8,692.4 J

This tells us that it takes 8,692.4 J of energy to heat the water from 55 °C to 100 °C.

For part 2, we need to find the energy required to change the water to steam. This is known as the molar heat of vaporization, which is the amount of energy required to turn one mole of a substance from a liquid to a gas.

The molar heat of vaporization of water is 40.6 kJ/mol. We need to figure out how many moles of water we have so we can use this value.

To do this, we can use the molar mass of water, which is approximately 18 g/mol.

38.0 g / 18 g/mol = 2.11 mol

So we have 2.11 moles of water.

Now we can use the formula:

Q = n * ΔH

Where Q is the amount of energy required, n is the number of moles of water, and ΔH is the molar heat of vaporization.

Plugging in the values we have:

Q = 2.11 mol * 40.6 kJ/mol

Q = 85.7 kJ

This tells us that it takes 85.7 kJ of energy to change 38.0 g of water to steam at 100 °C.

To find the total energy required, we can add the energy required for part 1 and part 2:

Total energy = 8,692.4 J + 85.7 kJ

Total energy = 94.4 kJ

Thermoluminescence can date sediments and rocks directly

Radiocarbon dating, also known as carbon-14 dating, is a technique used to estimate the age of carbon-containing materials that have been preserved in the last 50,000 years. It is widely used in geology, archaeology, and paleontology.The theory behind carbon dating is straightforward: living organisms absorb carbon from their environment and use it to create new organic compounds. Carbon-14 is a radioactive isotope of carbon that is absorbed by organisms at the same rate as ordinary carbon. Carbon-14 decays at a constant rate, and measuring the amount of carbon-14 in a sample can provide an estimate of how long it has been since the organism died or the carbon-containing material was formed.

Thermoluminescence (TL) dating, on the other hand, is a technique used to date sediments and rocks directly. It is based on the fact that when rocks are heated, they emit light energy. This light energy is trapped within the crystal structure of the rock, and over time, it accumulates. By measuring the amount of light energy trapped within a sample, scientists can estimate how long it has been since the sample was last heated.

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We use molality instead of molarity for our calculations because it is a more reliable measure of concentration, especially in cases where temperature changes can affect the volume of the solution.

Molality is defined as the number of moles of solute per kilogram of solvent, whereas molarity is defined as the number of moles of solute per liter of solution. Since molality is based on the mass of the solvent, it is not affected by changes in volume due to temperature changes, making it a more accurate measure of concentration. In contrast, molarity is based on the volume of the solution, which can change with temperature, resulting in inaccurate calculations. Molality is particularly useful in certain applications, such as in the preparation of solutions for cryogenics or in biochemistry.

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Explanation:

solubility of potassium nitrate (KNO3) at 5 oC ~ 24 g/100 mL H2O The solubility of potassium nitrate (KNO3) at 25 oC ~ 40 g/100 mL H2O Potassium nitrate (KNO3) is a solid.

The equilibrium concentrations are [H₂] = 1.685 M, [F₂] = 1.685 M, and [HF] = 2.630 M.

Let's first write the balanced equation for the formation of hydrogen fluoride from hydrogen and fluorine:

H₂(g) + F₂(g) ⇌ 2HF(g)

The equilibrium constant expression for this reaction will be:

Kc = [HF]² / [H₂] [F₂]

where the square brackets indicate the equilibrium concentrations of each species.

We are given that the equilibrium constant is 1.15 x 10². Now we can use an ICE (Initial-Change-Equilibrium) table to calculate the equilibrium concentrations of all species:

H₂ F₂ 2HF

Initial 3.000 M 3.000 M 0

Change -x -x +2x

Equilib 3.000-x 3.000-x 2x

where x will be the change in concentration at equilibrium.

Substituting these values into the equilibrium constant expression and solving for x, we get:

1.15 x 10² = (2x)² / (3.000-x)²

Solving for x, we get:

x = 1.315 M

Therefore, the equilibrium concentrations of each species are:

[H₂] = 3.000 - x = 1.685 M

[F₂] = 3.000 - x = 1.685 M

[HF] = 2x = 2.630 M

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The number of moles of gas is doubled, the volume of the gas must also double. The new volume of gas is 8.00 L.

This can be expressed mathematically using the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature (assumed to remain constant).

We can rearrange the equation to solve for V:

[tex]V = \frac{nRT }{ P}[/tex]

We can plug in the known values to solve for the new volume:

[tex]V = \frac{(0.50 mol)(0.082 L-atm/K-mol)(273 K) }{ 1 atm}[/tex]

V = 8.00 L

Hence, the new gas volume is 8.00 L.

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Answer: An ionic bond

Explanation: Oppositely charged particles are attracted towards each other. This force is otherwise known as an electrostatic attraction. An ionic bond is the electrostatic attraction that holds atoms together in an ionic compound. I hope this helps!

A gas has a mass of 3.82 g and occupies a volume of 0.854 l. the temperature in the laboratory is 302 k, and the air pressure is 1.04 atm, the molar mass of the gas is: 107 g/mol.

A gas has a mass of 3.82 g and occupies a volume of 0.854 L,
while the temperature in the laboratory is 302 K and the air pressure is 1.04 atm.

We will now calculate the molar mass of the gas using the following formula: PVM = mRT
where, P represents the pressure in atm, V is the volume in litres, n is the number of moles, R is the gas constant which is 0.0821 L-atm/mol-K, and T is the temperature in Kelvin.
P = 1.04 atm, V = 0.854 L, T = 302 K and we have to find n which is the number of moles of the gas.

Rearranging the equation to solve for n gives:n = PV/RT
Putting values we getn = (1.04 atm)(0.854 L) / (0.0821 L-atm/mol-K) (302 K)n = 0.0336 mol
The molar mass of the gas is calculated using the following formula: molar mass = mass of the gas / number of moles
molar mass = 3.82 g / 0.0336 mol
molar mass = 113.69 g/mol
Thus, the molar mass of the gas is 107 g/mol (rounded to one decimal place).

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The solution has a molarity of 0.211 M. (molar).

To determine the molarity of a solution, we need to know the amount of solute (in moles) and the volume of the solution (in liters). In this case, we are given the volume of the solution and the mass of the solute, so we need to use the molar mass of copper (II) sulfate to convert the mass to moles.

The molar mass of copper (II) sulfate is 159.61 g/mol. Therefore, we can calculate the number of moles of copper (II) sulfate as follows:

moles CuSO4 = 50.5 g / 159.61 g/mol = 0.316 moles

Next, we need to calculate the molarity of the solution using the number of moles of copper (II) sulfate and the volume of the solution. The volume of the solution is given as 1.5 liters. Therefore, we can calculate the molarity as follows:

Molarity = moles of solute / liters of solution

Molarity = 0.316 moles / 1.5 liters

Molarity = 0.211 M

Therefore, the molarity of the solution is 0.211 M (molar).

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The furanose form of fructose is generated by a hemiketal formation involving the attack of the C5-hydroxyl group on the C2-ketone, forming a six-membered ring with an oxygen atom.

The furanose form of fructose is generated by formation of a hemiketal involving the attack of the C-hydroxyl group on the C- ketone. This is a chemical reaction which takes place between a ketone group and a hydroxyl group from the same molecule, resulting in the formation of an alcohol and an ether. This is a type of reaction called a hemiketal formation.

The process occurs as follows: A ketone with a hydroxyl group in the same molecule forms a hemiketal, which is a cyclic compound that has an alcohol group and an ether group. The hemiketal is then transformed into a stable, non-cyclic ketal by the addition of another alcohol molecule.

The structure of fructose is as follows:

In fructose, the furanose form is produced when the C5-hydroxyl group attacks the C2-ketone, producing a six-membered ring with an oxygen atom in the ring. The result is a cyclic hemiacetal with five carbons and one oxygen atom.This is shown in the following diagram:

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Answer:

1440

Explanation:

32 cans/bundle and there are 45 bundles 32 x 45 = 1440