SATHEE: Thermodynamics Question 270

Thermodynamics Question 270

Question: Certain perfect gas is found to obey $P V^{3 / 2} =$ constant during an adiabatic process. If such a gas at initial temperature T is adiabatically compressed to half the initial volume, its final temperature will be

Options:

A) $\sqrt{2} T$

B) $2 T$

C) $2 \sqrt{2} T$

D) $4 T$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $P V^{3 / 2} = constant$

$P V = n R T$

$\Rightarrow V^{1 / 2} T = const .$

$\Rightarrow {(\frac{V}{2})}^{1 / 2} T^{'} = const .$

$\Rightarrow T^{'} = T \sqrt{2}$

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Thermodynamics Question 270

Question: Certain perfect gas is found to obey PV3/2= constant during an adiabatic process. If such a gas at initial temperature T is adiabatically compressed to half the initial volume, its final temperature will be

Options:

Answer:

Solution:

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Question: Certain perfect gas is found to obey $P V^{3 / 2} =$ constant during an adiabatic process. If such a gas at initial temperature T is adiabatically compressed to half the initial volume, its final temperature will be