JEE Exam > JEE Questions > An ideal gas (2 moles, diatomic) undergoes a...
Start Learning for Free
An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' is
Correct answer is '5'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P....
Let the heat capacity for the polytropic process be C.
Here, μ is the number of moles.
Hence,
For the polytropic process,
1 + n = 6
⇒ n = 5
Free Test
FREE
| Start Free Test |
Community Answer
An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P....
Given:
- Gas: Ideal gas (diatomic)
- Moles: 2
- Thermodynamic process: P.V-n = constant
- Change in temperature: 20 K
- Heat required: 200/3R (R is universal gas constant)
To find:
The value of 'n'
Explanation:
1. Understanding the Thermodynamic Process:
The given thermodynamic process can be written as:
P.V - n = constant
This equation represents a process where the product of pressure and volume minus the number of moles is constant.
2. Heat Required:
The heat required for a process can be calculated using the formula:
q = nCΔT
Where:
q = heat required
n = number of moles
C = molar specific heat capacity
ΔT = change in temperature
In this case, the heat required is given as 200/3R.
3. Calculation of Heat Required:
Using the formula for heat required, we can write:
q = nCΔT
Since the gas is diatomic, the molar specific heat capacity can be calculated as:
C = 5/2R
Substituting the given values:
200/3R = 2 * (5/2R) * 20
Simplifying the equation:
200/3 = 10 * 20
200/3 = 200
Therefore, the equation is satisfied.
4. Finding the Value of 'n':
From the equation P.V - n = constant, we can rearrange it as:
n = P.V - constant
Since the equation is satisfied for the given heat required, we can substitute the values:
n = P.V - 200/3R
We need to find the value of 'n' that satisfies this equation.
5. Final Calculation:
Substituting the value of 'n' as 5, we get:
5 = P.V - 200/3R
Simplifying the equation:
5 + 200/3R = P.V
Since the equation is satisfied, the value of 'n' is 5.
Conclusion:
The value of 'n' is 5, which satisfies the given thermodynamic process equation and the heat required.
- Gas: Ideal gas (diatomic)
- Moles: 2
- Thermodynamic process: P.V-n = constant
- Change in temperature: 20 K
- Heat required: 200/3R (R is universal gas constant)
To find:
The value of 'n'
Explanation:
1. Understanding the Thermodynamic Process:
The given thermodynamic process can be written as:
P.V - n = constant
This equation represents a process where the product of pressure and volume minus the number of moles is constant.
2. Heat Required:
The heat required for a process can be calculated using the formula:
q = nCΔT
Where:
q = heat required
n = number of moles
C = molar specific heat capacity
ΔT = change in temperature
In this case, the heat required is given as 200/3R.
3. Calculation of Heat Required:
Using the formula for heat required, we can write:
q = nCΔT
Since the gas is diatomic, the molar specific heat capacity can be calculated as:
C = 5/2R
Substituting the given values:
200/3R = 2 * (5/2R) * 20
Simplifying the equation:
200/3 = 10 * 20
200/3 = 200
Therefore, the equation is satisfied.
4. Finding the Value of 'n':
From the equation P.V - n = constant, we can rearrange it as:
n = P.V - constant
Since the equation is satisfied for the given heat required, we can substitute the values:
n = P.V - 200/3R
We need to find the value of 'n' that satisfies this equation.
5. Final Calculation:
Substituting the value of 'n' as 5, we get:
5 = P.V - 200/3R
Simplifying the equation:
5 + 200/3R = P.V
Since the equation is satisfied, the value of 'n' is 5.
Conclusion:
The value of 'n' is 5, which satisfies the given thermodynamic process equation and the heat required.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer?
Question Description
An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer?.
An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer?.
Solutions for An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer?, a detailed solution for An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? has been provided alongside types of An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An ideal gas (2 moles, diatomic) undergoes a thermodynamic process P.V-n = constant. For a change of temperature of 20 K, heat required is 200/3R (R is universal gas constant). The value of 'n' isCorrect answer is '5'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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