How do I do this question?The aluminum cup inside your calorimeter weighs 39.78 g. You add 50.01 g of ice cold water to the calorimeter. You measure the temperature of the calorimeter to be 0.5oC just before your next addition. You then add 50.72 g of hot water and a 49.98 g metal object, all having an initial temperature of 69.5oC. After the calorimeter reaches thermal equilibrium, the final temperature is measured to be 35.9oC.

What is the specific heat of the metal object, in units of J g-1 oC-1.

Assume that:

the calorimeter is completely insulated
the heat capacity of the empty calorimeter is the heat capacity of the aluminum cup: 0.903 J g-1 oC-1.
the density of water is: 1.00 g/mL.
the heat capacity of water is: 4.184 J g-1 oC-1.
Perform all calculations without rounding, but then provide your answer to the correct number of significant figures. Units can be entered as J/(gK)

Answers

Answer 1

Answer:

[tex]Cp_{metal}=0.922\frac{J}{g\°C}[/tex]

Explanation:

Hello.

In this problem we must realize that there is heat flow that moves from the hot metal object and the hot water to the cold water and the cold aluminum cup, which allows us to write:

[tex]Q_{cup}+Q_{cold,w}=-(Q_{metal}+Q_{hot,w})[/tex]

Which means that the heat lost be the hot metal object and the hot water is gained by both the cold water and the cold aluminum cup, which can be written in terms of mass, specific heats and change in temperature towards the equilibrium temperature (35.9 °C):

[tex]m_{cup}Cp_{cup}(T_{eq}-T_{cup})+m_{cold,w}Cp_{cold,w}(T_{eq}-T_{cold,w})=-(m_{metal}Cp_{metal}(T_{eq}-T_{metal})+m_{hot,w}Cp_{hot,w}(T_{eq}-T_{hot,w})[/tex]

We need to solve for the specific heat of the metal as shown below:

[tex]Cp_{metal}=\frac{m_{cup}Cp_{cup}(T_{eq}-T_{cup})+m_{cold,w}Cp_{cold,w}(T_{eq}-T_{cold,w})+m_{hot,w}Cp_{hot,w}(T_{eq}-T_{hot,w})}{-m_{metal}(T_{eq}-T_{metal})} \\\\Cp_{metal}=\frac{39.78g*0.903\frac{J}{g\°C}(35.9-0.5)\°C+50.01g*4.184\frac{J}{g\°C}(35.9-0.5)\°C +50.72g*4.184\frac{J}{g\°C}(35.9-69.5)\°C }{-49.98g(35.9-69.5)\°C } \\\\Cp_{metal}=\frac{1271.6J+7407.2J-7130.3J}{-1679.3g\°C} \\\\Cp_{metal}=0.922\frac{J}{g\°C}[/tex]Best regards.


Related Questions

The elementary gas-phase reaction

A → B

takes place isobarically and isothermally in a PFR where 63.2% conversion is achieved. The feed is pure A. It is proposed to put a CSTR of equal volume upstream of the PFR. Based on the entering molar flow rate to A to the first reactor, what will be the intermediate from the CSTR, X1, and exit conversion from the PFR, X2, based on the feed to first reactor?

Answers

Answer:

Xa1 = 0.5

Xa2 = 0.815

Explanation:

Elementary gas-phase reaction

A → B  taking place isobarically and isothermally and the feed is Pure

conversion rate = 63.2%

The intermediate from the CSTR (XA1 ) = 50%

conversion in the PFR at the exit ( XA2 ) =  0.815

Attached below is the detailed

How does water shape earth surfaces

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Answer:

jeanne I have to be at work at school

Which material is typically used as a thermal insulator

Answers

Answer: plastic, wood, rubber

Explanation:

Answer:

Lots of items.

Explanation:

Fiber, mineral wool, and corks.

is water a mineral? HELP ASAP!!!!

Answers

Answer:

Water is not a mineral because it is not a solid.

Explanation: If water were turned into ice then it would be considered if water were turned into ice then it would be considered a mineral.

Please answer 11 to 13 to receive 10 Brainly points. Please read the bullet points to under the questions. And check the molecular formula image.

Answers

Answer:

11 yes

12 H2O( water molecules)

13 3H2O( water molecules)

Explanation:

Sry, my phone's a potato, so I didn't read it properly, so I'm not sure about the question 11.

11-yes, they stay together, but they release 3 molecules of OH an H.

12- here it talks about what will happen with OH and H: they will be H2O (water molecules).

13- and here we end it with the informations that we got: 3 fatty acids+ glycerol---> fat+ 3H2O( the 3 H and 3 OH)

C10H22 + O2 -- CO2 + H2O balance

Answers

Answer:

1,31÷2 =10,11

Explanation:

c10h22+31÷2o2=10co2+11h2o

Different kind of London are used in eyeglasses to help people with eye conditions​

Answers

Answer:

true

Explanation:

Give two examples. What is prey?

Answers

Answer: deer and a rabbit or zebra

I need help with my slide show, how is sandstone formed.

Answers

Answer:

Sandstone is a rock comprising mostly of minerals formed from sand. The stone gains its formation throughout centuries of deposits forming in lakes, rivers, or on the ocean floor. These elements group together with the minerals quartz or calcite and compresses. In time, the sandstone is formed by the pressure of these minerals coming together.

Explanation:

Answer:

Sandstone is a rock comprising mostly of minerals formed from sand. The stone gains its formation throughout centuries of deposits forming in lakes, rivers, or on the ocean floor. These elements group together with the minerals quartz or calcite and compresses.

Explanation:

A woman is brought into the emergency room experiencing nausea and vomiting. She is also hyperventilating. She says that she ingested a bottle of aspirin about two hours earlier. Aspirin (acetylsalicylic acid) is converted to salicylic acid in the stomach. Assuming 100% conversion to salicylic acid.

Required:
Calculate the percentage of protonated and unprotonated forms of salicylic acid in her stomach, given a pH of 2.0 for the stomach.

Answers

Answer:

Protonated form: 96.87%

Unprotonated form: 3.13%

Explanation:

To find the percentage of protoned and unprotoned forms of salicylic acid we must use Henderson-Hasselbalch equation:

pH = pKa + log [A⁻] / [HA]

Where pKa of salicylic acid is 3.49; [A⁻] is the unprotonated form and [HA]:

2.0 = 3.49 + log [A⁻] / [HA]

0.03236 = [A⁻] / [HA] (1)

And as:

[A⁻] + [HA] = 100% (2)

Replacing (2) in (1):

0.03236 = 100 - [HA] / [HA]

0.03236 [HA] = 100 - [HA]

1.03236[HA] = 100

[HA] = 96.87%

And [A⁻]:

[A⁻] = 100 - 96.87

[A⁻] = 3.13%

WHAT IS THE DENSITY OF A BLOCK WITH A
VOLUME OF 24 ML AND A MAS 3.2 G?

Answers

Answer:

The answer is 7.5 g/mL

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\ [/tex]

So we have

[tex]density = \frac{24}{3.2} \\ [/tex]

We have the final answer as

7.5 g/mL

Hope this helps you

Please Help. Will mark as Brainliest

Answers

Answer:

You are correct. The answer is [tex]X_{3} Z[/tex].

How does rainfall affect a biome !?!?!!??!

Answers

it increases moisture

The economy of each region was shaped by all of the following factors, except:
A. Geography
B. Climate
C. Language
D. Population

Answers

Language is the correct answer I’m sure also brainliest??

Answer:

Language

Explanation:

this is very obvious not to be mean

Which of the following groups makes a neutral salt of the form AB

Answers

Answer:

Groups II and VI

Explanation:

Hello.

In this case, regarding cations from groups I whose oxidations states are +1, II whose oxidation states are +2 and III whose oxidation states are +3 we can see that when they combine with nonmetallic anions they exchange the charges via subscripts. In such a way, when bonding for instance calcium ions with sulfide ions, we obtain:

[tex]Ca^{2+}S^{2-}=Ca_2S_2[/tex]

Which can be simplified to give:

[tex]CaS[/tex]

If we do the same for oxygen, selenium and tellurium, we find the same form since nonmetals from group VIA could form anions with -2 as they need two electrons to attain the octet, therefore, answer is groups II and VI.

Regards.

9.87 x 10^-5km - 8.76 x 10^-6km

Answers

0.00008994 kilograms

Uneven heating of Earth's surface creates pressure differences that result in ____________.

Answers

Answer:

Updrafts (and can cause thunderstorms and other violent weather.)

Good luck, hope this helped!

Ammonia molecule has got trigonal pyramidal geometry even though central atom gets sp3 hybridization. Give reason.​

Answers

N has 5 outershell electrons
In NH3 N shares 3 electrons with H
2 electrons are not bonded with
So there are 3 bonding pairs and one lone pair of electrons
Lone pair - bond pair repulsion is greater than bond pair - bond pair repulsion
So they arrange in a way that minimizes repulsion forming a trigonal pyramidal shape

Help Please!! (The Question is in the picture!)

Answers

Answer:

the answer that best describe the two methods is c

A 130.3 g piece of copper (specific heat 0.38 J/g・°C) is heated and then placed into 400.0 g of water initially at 20.7°C. The water increases in temperature to 22.2°C. What is the initial temperature of the copper? (The specific heat of water is 4.18 J/g・°C).

Answers

Answer:

Approximately [tex]72.9\; \rm ^\circ C[/tex], assuming that this system is insulated properly.

Explanation:

Calculate the amount of energy that the water here has gained (using the increase in its temperature.)

[tex]\begin{aligned} Q(\text{water}) &= c(\text{water}) \cdot m(\text{water}) \cdot \Delta T(\text{water}) \\ &=4.18 \times 400.0 \times (22.2 - 20.7) \approx 2508.0\; \rm J \end{aligned}[/tex].

Assume that this system (copper and water) is well-insulated and has no heat exchange with its surroundings. The amount of energy that water gained should be equal to the of energy that copper has lost. However, the sign of the energy change of copper should be negative because copper had lost energy:

[tex]Q(\text{copper}) = -Q(\text{water}) \approx -2508.0\; \rm J[/tex].

Calculate the temperature change of this piece of copper. Note, that this temperature change is the difference between the initial temperature of the copper piece and the final temperature [tex]22.2\; \rm ^\circ C[/tex] of the system.

[tex]\begin{aligned}\Delta T(\text{copper}) &= \frac{Q(\text{copper})}{c(\text{copper}) \cdot m(\text{copper})} \approx \frac{-2508.0}{130.3 \times 0.38} \approx 50.65\; \rm ^\circ C\end{aligned}[/tex].

Calculate the initial temperature of this piece of copper given its final temperature and the change to its temperature:

[tex]\begin{aligned}T(\text{copper, initial}) &= T(\text{copper, final}) - \Delta T(\text{copper}) \\ &\approx 22.2 + 50.65 \approx 72.9\; \rm ^\circ C\end{aligned}[/tex].

If 20.0 kilocalories of energy were added to 80.0 g of water, what change in temperature would be observed?
Please explain how.

Answers

Answer:

250 °C.

Explanation:

From the question given above, the following data were:

Heat (Q) required = 20.0 kilocal

Mass (M) of water = 80 g

Change in temperature (ΔT) =.?

Next, we shall convert 20.0 Kilocalories to calories. This can be obtained as shown below:

1 kilocal = 1000 Cal

Therefore,

20 kilocal = 20 kilocal × 1000 Cal / 1 kilocal

20 kilocal = 20000 calories

Therefore, 20 kilocalorie is equivalent to 20000 calories.

Finally, we shall determine the change in temperature observed as follow:

Heat (Q) required = 20000 Cal

Mass (M) of water = 80 g

Specific heat capacity (C) of water = 1 Cal /gºC

Change in temperature (ΔT) =.?

Q = MCΔT

20000 = 80 × 1 × ΔT

20000 = 80 × ΔT

Divide both side by 80

ΔT = 20000 / 80

ΔT = 250 °C

Therefore, the change in temperature observed is 250 °C

A solid that forms from liquids in a chemical reaction is called a

PLZ HELP

Answers

Answer:

precipitate

Explanation:

The diagram show the box for an element in the periodic table . What is the atomic mass of the element shown .

Answers

Answer:32.1

Explanation:

A rectangular solid has a length of 3 cm height of 4 cm and a Width of My 5 cm what is a solid volume

Answers

Volume = length x width x height

Volume = 3cm x 5cm x 4cm

Volume = 60cm3

Hope this helps! :)

Which of the following is true about metallic bonds?
o A. Electrons are strongly attracted to the nucleus.
B. Electrons of metals are always shared.
C. Electrons are highly stable.
O
D. Electrons are delocalized.

Answers

Answer:

D: electrones are delocalized

The metallic bond has been characterized with the de localization of the electrons. Thus, option D is correct.

Metallic bond has been the type of inter-molecular force that has been found in between the metal atoms.

Metals atom have been capable of donating the electrons in order to become stable. In the metallic bond, there has been the de-localization of the electrons of p orbitals that has been resulted in the electron cloud for the formation of the metallic bond.

Thus, the metallic bond has been characterized with the de localization of the electrons. Thus, option D is correct.

For more information about the metallic bond, refer to the link:

https://brainly.com/question/10714037

Which statement best describes a scientific theory?
A) It is a scientific fact that no longer requires any evidence to support it.
B) It is a general statement that is supported by many scientific observations.
C) It is an educated guess that can be tested by experimentation.
D) It is a collection of data designed to provide support for a prediction.

Answers

Answer:

B

Explanation:

Just because it is a theory doesnt mean it does not need evidence or odservations.

Answer:

it’s c

Explanation:

it’s c

A calibration curve was created to determine the quantity of protein in a solution. The calibration curve has the form of a straight line with the equation A = 0.0182 x +0.007 where A is the corrected absorbance of the solution and x is quantity of protein in the solution in units of micrograms (μg). Determine the quantity of protein in a solution that has an absorbance of 0.207. A blank solution has an absorbance of 0.050 .

Answers

Answer:

(a) 10 quantities of protein

(b) 2 quantities of protein

Explanation:

Given

[tex]A = 0.0182 x +0.007[/tex]

Solving (a):

Solve for x when A = 0.207

Substitute 0.207 for A

[tex]A = 0.0182 x +0.007[/tex]

[tex]0.207 = 0.0182x + 0.007[/tex]

Solve for 0.0182x

[tex]0.0182x = 0.207 - 0.007[/tex]

[tex]0.0182x = 0.200[/tex]

Solve for x

[tex]x = 0.200/0.0182[/tex]

[tex]x = 10.989010989[/tex]

[tex]x = 11[/tex] (Approximated)

Solving (b):

Solve for x when A = 0.050

Substitute 0.050 for A

[tex]A = 0.0182 x +0.007[/tex]

[tex]0.050 = 0.0182x + 0.007[/tex]

Solve for 0.0182x

[tex]0.0182x = 0.050 - 0.007[/tex]

[tex]0.0182x = 0.043[/tex]

Solve for x

[tex]x = 0.043/0.0182[/tex]

[tex]x = 2.36263736264[/tex]

[tex]x = 2[/tex] (Approximated)

sapling is to a tree as a _______ is to a horse... help meee

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I don’t understand....I’m having a hard time reading this :/

What body system controls the brain, spinal cord, nerves, and sense organs?

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Answer:

The central nervous system

I WILL GIVE BRAINLIEST! ANSWER ASAP! If 50 grams of vinegar and 10 grams of baking soda are poured into a container, what will the final mass of the products be?​

Answers

Answer: Wouldn't that just be 60 grams?

Explanation:

50+10=60

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