Question

A gas volume 100 cc. is kept in a vessel at pressure ${10}^4$ atm maintained at temperature ${24}^{0}C$. If now the pressure is increased to ${10}^5$ atm, keeping the temperature constant, then the volume of the gas becomes:

• A. 10 cc
• B. 100 cc
• C. 1 cc
• D. 1000 cc

Answer 1

Answer: (A)

10 cc

$P_1{V}_1=P_2{V}_2$

$\Rightarrow {10}^4\times 100={10}^5\times V_2$

$\Rightarrow V_2=\frac{{10}^4\times 100}{{10}^5}$

$\Rightarrow V_2=10cc$