SATHEE: Thermodynamics Question 349

Thermodynamics Question 349

Question: An ideal gas at $27^{o} C$ is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $γ = \frac{5}{3}$ , then the rise in temperature is

Options:

A) 450 K

B) 375 K

C) 225 K

D) 405 K

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $\frac{T_{2}}{T_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ - 1} \Rightarrow T_{2} = 300 {(\frac{27}{8})}^{\frac{5}{3} - 1} = 300 {(\frac{27}{8})}^{\frac{2}{3}}$

$= 300 {(\frac{27}{8})}^{1 / 3}^{2} = 800 {(\frac{3}{2})}^{2} = 675 K$

$\Rightarrow Δ T = 675 - 300 = 375 K$

Thermodynamics Question 349

Question: An ideal gas at $27^{o} C$ is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $γ = \frac{5}{3}$ , then the rise in temperature is

Options:

Answer:

Solution:

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Thermodynamics Question 349

Question: An ideal gas at 27oC is compressed adiabatically to 827 of its original volume. If γ=53 , then the rise in temperature is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: An ideal gas at $27^{o} C$ is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $γ = \frac{5}{3}$ , then the rise in temperature is