1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Minchanka [31]
3 years ago
5

Calculate the mass of methane that must be burned to provide enough heat to convert 242.0 g of water at 26.0°C into steam at 101

.0°C. (Assume that the H2O produced in the combustion reaction is steam rather than liquid water.)
Chemistry
1 answer:
Anarel [89]3 years ago
8 0

<u>Answer:</u> The mass of methane burned is 12.4 grams.

<u>Explanation:</u>

The chemical equation for the combustion of methane follows:

CH_4(g)+2O_2(g)\rightarrow CO_2(g)+2H_2O(g)

The equation for the enthalpy change of the above reaction is:

\Delta H^o_{rxn}=[(1\times \Delta H^o_f_{(CO_2(g))})+(2\times \Delta H^o_f_{(H_2O(g))})]-[(1\times \Delta H^o_f_{(CH_4(g))})+(2\times \Delta H^o_f_{(O_2(g))})]

We are given:

\Delta H^o_f_{(H_2O(g))}=-241.82kJ/mol\\\Delta H^o_f_{(CO_2(g))}=-393.51kJ/mol\\\Delta H^o_f_{(CH_4(g))}=-74.81kJ/mol\\\Delta H^o_f_{O_2}=0kJ/mol

Putting values in above equation, we get:

\Delta H^o_{rxn}=[(1\times (-393.51))+(2\times (-241.82))]-[(1\times (-74.81))+(2\times (0))]\\\\\Delta H^o_{rxn}=-802.34kJ

The heat calculated above is the heat released for 1 mole of methane.

The process involved in this problem are:

(1):H_2O(l)(26^oC)\rightarrow H_2O(l)(100^oC)\\\\(2):H_2O(l)(100^oC)\rightarrow H_2O(g)(100^oC)\\\\(3):H_2O(g)(100^oC)\rightarrow H_2O(g)(101^oC)

Now, we calculate the amount of heat released or absorbed in all the processes.

  • <u>For process 1:</u>

q_1=mC_p,l\times (T_2-T_1)

where,

q_1 = amount of heat absorbed = ?

m = mass of water = 242.0 g

C_{p,l} = specific heat of water = 4.18 J/g°C

T_2 = final temperature = 100^oC

T_1 = initial temperature = 26^oC

Putting all the values in above equation, we get:

q_1=242.0g\times 4.18J/g^oC\times (100-(26))^oC=74855.44J

  • <u>For process 2:</u>

q_2=m\times L_v

where,

q_2 = amount of heat absorbed = ?

m = mass of water or steam = 242 g

L_v = latent heat of vaporization = 2257 J/g

Putting all the values in above equation, we get:

q_2=242g\times 2257J/g=546194J

  • <u>For process 3:</u>

q_3=mC_p,g\times (T_2-T_1)

where,

q_3 = amount of heat absorbed = ?

m = mass of steam = 242.0 g

C_{p,g} = specific heat of steam = 2.08 J/g°C

T_2 = final temperature = 101^oC

T_1 = initial temperature = 100^oC

Putting all the values in above equation, we get:

q_3=242.0g\times 2.08J/g^oC\times (101-(100))^oC=503.36J

Total heat required = q_1+q_2+q_3=(74855.44+546194+503.36)=621552.8J=621.552kJ

  • To calculate the number of moles of methane, we apply unitary method:

When 802.34 kJ of heat is needed, the amount of methane combusted is 1 mole

So, when 621.552 kJ of heat is needed, the amount of methane combusted will be = \frac{1}{802.34}\times 621.552=0.775mol

To calculate the number of moles, we use the equation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

Molar mass of methane = 16 g/mol

Moles of methane = 0.775 moles

Putting values in above equation, we get:

0.775mol=\frac{\text{Mass of methane}}{16g/mol}\\\\\text{Mass of methane}=(0.775mol\times 16g/mol)=12.4g

Hence, the mass of methane burned is 12.4 grams.

You might be interested in
Mountain-building is a ________ process on Earth.<br> A. destructive<br> B. constructive
serg [7]
I'm pretty sure it's B)constructive
7 0
3 years ago
Read 2 more answers
Which phrase describes radiation?
vesna_86 [32]

Answer:

the process in which energy is emitted by one object, transmitted through space, and absorbed by another

Explanation:

Radiation is energy that comes from a source and travels through space and may be able to penetrate various materials. Light, radio, and microwaves are

types of radiation that are called nonionizing.

8 0
3 years ago
Write the molecular formula of potassium chloride​
Naddik [55]

Answer:

KCl is the answers for the question

Explanation:

please give me brainlest

4 0
2 years ago
Read 2 more answers
A container of gas has a volume of 140.0 cm3 at a temperature of 27.0°C. If the
Vitek1552 [10]

Answer:

285.185 (.185 repeating) cm^3

Explanation:

To get the answer, you divide 140 by 27 to get 5.185 (.185 repeating). Then, you multiply 5.185 (.185 repeating) by 55 and get 285.185 (.185 repeating) cm^3. Please use ^ next time to indicate exponents.

8 0
2 years ago
What’s the difference between a learned behavior in an inherited behavior? Give one example of each
AleksAgata [21]

Answer:

A learned behavior is a behavior that develops during an animal's lifetime. Tying one's shoes or solving a math problem are examples of learned behaviors. An inherited behavior is a behavior that an animal is born with. It does not have to be taught. For example, a bird can build a nest for the first time without any help.

Explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What are the smallest division on a ruler?
    13·1 answer
  • Choose all of the answers that are correct when describing this atom.
    7·2 answers
  • 2. What effect does amount of water have on plant growth?
    7·2 answers
  • 1. Explain Why is Earth's<br>atmosphere important to life<br>on Earth?​
    6·1 answer
  • HELP ASAP PLZ!!!! Find the mass of each substance. Show your work.
    10·1 answer
  • Which is a description of a pattern displayed by elements in the periodic table?
    14·2 answers
  • What do many bases have in common
    15·1 answer
  • A 500.0 g sample of aluminium, I initially at 25.0 degrees, absorbs heat from its surroundings and reaches a final temperature o
    5·1 answer
  • Determine el número de muléculas y átomos contenidos en 64g de O2
    10·1 answer
  • What is the molar concentration of a 2 liter solution containing 200 grams of glucose?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!