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  4. The relation between p and T during the adiabatic process with a monoatomic gas is pTn= constant. What is the value of n = ?

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Q. The relation between p and T during the adiabatic process with a monoatomic gas is $pT^n$= constant. What is the value of n = ?

Thermodynamics

Solution:

$pV\, \gamma \,=K\,and\, pV = RT $ $ Hence\,p \left (\frac {Rt}{p} \right)^{\gamma}=K\,or\, p^{1-\gamma} T^{\gamma}=K' \,Or \,\frac{\gamma}{pT^{1-\gamma}} = K'$ For monoatomic gas $\gamma$ = 5/3