First slide

Different type of processes

Question

A monoatomic gas ( $γ$ = $\frac{5}{3}$ ) ·is suddenly compressed to (1/8) its volume adiabatically; then the pressure of the gas will change to:

Easy

A

24/5
B

8
C

40/3
D

32

Solution

${PV}^{γ} = constant \Rightarrow P_{2} = P_{1} {(\frac{V_{1}}{V_{2}})}^{γ} = P_{1} {(8)}^{\frac{5}{3}} = P_{1} {(2)}^{5} = 32 P_{1}$

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