Questions

A gas undergoes a process in which the pressure P and volume V are related as ${\mathrm{VP}}^{2\mathrm{n}-1}=\mathrm{constant}.$ Find the bulk modulus for the gas.

a

pn

b

pn-1

c

p2n-1

d

p3n-1

detailed solution

Correct option is C

V P2n−1=constant⇒ V2n−1 P2n−2 dP + P2n−1dV=0⇒ V2n−1 P2n−2 dP − P2n−1dV⇒ −dPdVV= P2n−12n−1 P2n−2⇒ = P2n−1−2n+22n−1 =P2n−1

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