Get 2 FREE Instant-Explanations on Filo with code FILOAPP

A diatomic ideal gas is used in a Carnot engine as the working

Question

Hard

Solving time: 5 mins

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32 V$ , the efficiency of the engine ?

0.5

0.75

0.99

0.25

Views: 5,783 students

Updated on: May 23, 2023

Found 2 tutors discussing this question

Benjamin Discussed

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from

V

32 V

, the efficiency of the engine ?

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

We have,

T V^{γ - 1} =

constant

\Rightarrow T_{1} V^{γ - 1} = T_{2} (32 V)^{γ - 1}

\Rightarrow T_{1} = (32)^{γ - 1} T_{2}

For diatomic gas,

γ = \frac{7}{5}

∴ γ - 1 = \frac{2}{5}

∴ T_{1} = (32)^{\frac{2}{5}} \cdot T_{2} \Rightarrow T_{1} = 4 T_{2}

Now, efficiency

= 1 - \frac{T _{2}}{T _{1}}

= 1 - \frac{T _{2}}{4 T _{2}} = 1 - \frac{1}{4} = \frac{3}{4} = 0.75

Was this solution helpful?

Report

Filo tutor solutions (3)

Learn from their 1-to-1 discussion with Filo tutors.

5 mins

Uploaded on: 5/12/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Syed Farooq Ali

Total classes on Filo by this tutor - 2,518

Teaches : Physics, Physical Chemistry, Mathematics

Connect instantly with this tutor

Connect now

Was this solution helpful?

Report

12 mins

Uploaded on: 5/23/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Rahul Raj

Total classes on Filo by this tutor - 8,782

Teaches : Physics, Mathematics, Inorganic Chemistry

Connect instantly with this tutor

Connect now

Was this solution helpful?

Report

9 mins

Uploaded on: 2/1/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Shivam Sourav

Total classes on Filo by this tutor - 217

Teaches : Physics, Mathematics, Organic Chemistry

Connect instantly with this tutor

Connect now

Was this solution helpful?

145

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32 V$ , the efficiency of the engine ?
Updated On	May 23, 2023
Topic	Thermodynamics
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	378
Avg. Video Duration	8 min

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32 V$ , the efficiency of the engine ?

Text solutionVerified

Filo tutor solutions (3)

Practice more questions from Thermodynamics

Practice questions on similar concepts asked by Filo students

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from V to 32V, the efficiency of the engine ?

Text solutionVerified

Filo tutor solutions (3)

Practice more questions from Thermodynamics

Practice questions on similar concepts asked by Filo students

Related books for questions on Thermodynamics

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32 V$ , the efficiency of the engine ?