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Question

The value of γ on monoatomic, diatomic and triatomic gases is ___, ___ and ___ respectively.

A

1.66, 1.40, 1.33

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B

1.33, 1.40, 1.66

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C

2, 1.66, 1.5

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D

None of these

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Solution

The correct option is (B)

Gamma is defined as the ratio of specific heat at constant pressure to the specific heat at constant volume.

γ=CPCV

CP and CV are specific heat capacities at constant pressure and volume respectively.

Part 1: Monoatomic gas

For monoatomic gas, N=1

The total degree of freedom =3

CV=3R2

Since CP=CV+R

CP=3R2+R

CP=5R2

γ=5R23R2

γ=53=1.66

Part 2: Diatomic gas

For diatomic gas, N=2

The total degree of freedom =5

CV=5R2

CP=7R2

γ=7R25R2

γ=75=1.40

Part 3: Triatomic gas

For triaomic gas, N=3

The total degree of freedom =7

CV=7R2

CP=9R2

γ=9R27R2

γ=97=1.33


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