First slide

Different type of processes

Question

An ideal gas undergoes a process in which its pressure (P) and volume ( V) obey P^x V = constant. Bulk modulus of the gas in the process is:

Easy

A

$P^{x}$
B

$\frac{p}{x}$
C

xP
D

$\sqrt{x} P$

Solution

$P^{x} V = constant \Rightarrow {xP}^{x - 1} ∆ PV + P^{x} ∆ V = 0 \Rightarrow Bulk modulus = \frac{∆ P}{\frac{- ∆ V}{V}} = \frac{P}{x}$

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