Solveeit Logo
Login

Question

Question: A monoatomic gas (r = 5/3) is suddenly compressed to \(\left( \frac{1}{8} \right)^{th}\) its volume ...

A monoatomic gas (r = 5/3) is suddenly compressed to (18)th\left( \frac{1}{8} \right)^{th} its volume adiabatically. The pressure of the gas will changes to

A

245\frac{24}{5}

B

8

C

403\frac{40}{3}

D

32

Answer

32

Explanation

Solution

P1V1r=P2V2rP_{1}V_{1}^{r} = P_{2}V_{2}^{r} ; P2=P1(V1V2)rP_{2} = P_{1}\left( \frac{V_{1}}{V_{2}} \right)^{r}

=P(8)r=P(8)53=32P= P(8)^{r} = P(8)^{\frac{5}{3}} = 32P

Hence (4) is correct.