SATHEE: Thermodynamics Question 324

Thermodynamics Question 324

Question: A gas expands adiabatically at constant pressure such that its temperature $T \propto a / \sqrt{V} .$ The value of $γ = (C_{p} / C_{V})$ of the gas is

Options:

A) 1.30

B) 1.50

C) 1.67

D) 2.00

Show Answer

Answer:

Correct Answer: B

Solution:

[b] In adiabatic expansion,

$p V^{γ} =$ constant put $p = \frac{R T}{V}$

$(\frac{R T}{V}) V^{γ} = constant$

$T V^{γ - 1} =$ constant or $T \propto V^{1 - γ}$

$∵$ $T \propto \frac{1}{\sqrt{V}}$

$∴$ $1 - γ = - \frac{1}{2}$

or $γ = 1 + \frac{1}{2} = \frac{3}{2} = 1.5$

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Thermodynamics Question 324

Question: A gas expands adiabatically at constant pressure such that its temperature T∝a/V. The value of γ=(Cp/CV) of the gas is

Options:

Answer:

Solution:

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Question: A gas expands adiabatically at constant pressure such that its temperature $T \propto a / \sqrt{V} .$ The value of $γ = (C_{p} / C_{V})$ of the gas is