The bulk modulus of a gas is defined as B=-\V\frac{\dP}{\dV}. For an adiabatic process the variation of B is proportional to P^n. For an ideal gas, n is

KVPY SX SB Exam 2013 Question Paper

Question : 32 of 120

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The bulk modulus of a gas is defined as

B=-\V{\dP}/{\dV}

. For an adiabatic process the variation of B is proportional to

P^n

. For an ideal gas, n is

Solution:

For adiabatic process

\PV ^{\γ} = \C

\P_\γ\V^{\γ-1}+{\dP}/{\dV}\V^{\γ}=0

\γ\P=-\V{\dP}/{\dV}

Hence n = 1

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