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Question

An ideal monoatomic gas obeys the law PVx = constant. For what value of x, it has negative molar specific heat :-

A
x > 1.67
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B
x < 1.67
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C
1 < x < 1.4
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D
1 < x < 1.67
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Solution

The correct option is D 1 < x < 1.67
Given : An ideal monoatomic gas obeys the law PVx= constant. For what value of x, it has negative molar specific heat :

Solution :
Molar specific heat Cv=Rγ1+R1x
Gas is monoatomic so γ=1.67

For negative molar specific heat Cv<0
Rγ1+R1x < 0
11.671+11x < 0

1.67x0.67(1x) <0

On further solving we get 1 < x < 1.67
The Correct Opt=D



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