Chemistry Exam > Chemistry Questions > When 0.5 mole of a gas expands isothermally a...
Start Learning for Free
When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed?
Most Upvoted Answer
When 0.5 mole of a gas expands isothermally and reversible from a volu...
Introduction:
The problem involves calculating the change in internal energy of a gas which expands isothermally and reversibly from a volume of 2L to 5L at 300K. The amount of heat absorbed during the process is given as 200 cal.
Formula:
The change in internal energy (ΔU) of a gas is given by the formula:
ΔU = q + w
where q is the heat absorbed by the system and w is the work done by the system. For an isothermal and reversible expansion, the work done by the system is given by:
w = -nRT ln(Vf/Vi)
where n is the number of moles of gas, R is the gas constant, T is the temperature in Kelvin, Vf is the final volume and Vi is the initial volume.
Calculation:
Given,
n = 0.5 mole
Vi = 2L
Vf = 5L
T = 300K
q = 200 cal
Using the formula for work done, we get:
w = -nRT ln(Vf/Vi)
w = -0.5 * 8.314 * 300 * ln(5/2)
w = -623.34 J
Converting the heat absorbed from calories to Joules, we get:
q = 200 * 4.184
q = 836.8 J
Substituting the values of q and w in the formula for change in internal energy, we get:
ΔU = q + w
ΔU = 836.8 - 623.34
ΔU = 213.46 J
Therefore, the change in internal energy of the gas is 213.46 J.
Conclusion:
The change in internal energy of a gas which expands isothermally and reversibly from a volume of 2L to 5L at 300K, absorbing 200 cal of heat is 213.46 J.
The problem involves calculating the change in internal energy of a gas which expands isothermally and reversibly from a volume of 2L to 5L at 300K. The amount of heat absorbed during the process is given as 200 cal.
Formula:
The change in internal energy (ΔU) of a gas is given by the formula:
ΔU = q + w
where q is the heat absorbed by the system and w is the work done by the system. For an isothermal and reversible expansion, the work done by the system is given by:
w = -nRT ln(Vf/Vi)
where n is the number of moles of gas, R is the gas constant, T is the temperature in Kelvin, Vf is the final volume and Vi is the initial volume.
Calculation:
Given,
n = 0.5 mole
Vi = 2L
Vf = 5L
T = 300K
q = 200 cal
Using the formula for work done, we get:
w = -nRT ln(Vf/Vi)
w = -0.5 * 8.314 * 300 * ln(5/2)
w = -623.34 J
Converting the heat absorbed from calories to Joules, we get:
q = 200 * 4.184
q = 836.8 J
Substituting the values of q and w in the formula for change in internal energy, we get:
ΔU = q + w
ΔU = 836.8 - 623.34
ΔU = 213.46 J
Therefore, the change in internal energy of the gas is 213.46 J.
Conclusion:
The change in internal energy of a gas which expands isothermally and reversibly from a volume of 2L to 5L at 300K, absorbing 200 cal of heat is 213.46 J.
|
Explore Courses for Chemistry exam
|
|
Similar Chemistry Doubts
When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed?
Question Description
When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed?.
When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed?.
Solutions for When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? in English & in Hindi are available as part of our courses for Chemistry.
Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? defined & explained in the simplest way possible. Besides giving the explanation of
When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed?, a detailed solution for When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? has been provided alongside types of When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? theory, EduRev gives you an
ample number of questions to practice When 0.5 mole of a gas expands isothermally and reversible from a volume of 2L to 5L at 300K the change in internal energy if 200 cal of heat is absorbed? tests, examples and also practice Chemistry tests.
|
|
Explore Courses for Chemistry exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup