Question

A gas occupies a volume of $300cc$ at ${27}^{\circ }$C and $620mm$ pressure. Find the volume of the gas at ${47}^{\circ }$C and $640mm$.

• A. $260cc$
• B. $310cc$
• C. $390cc$
• D. $450cc$

Answer 1

The correct option is B

$310cc$

Given,
Intial temperature $T_1$ = ${27}^{\circ }$C
Final temperature $T_2$ = ${47}^{\circ }$C
Intial pressure $P_1$ = $620mm$
Final pressure $P_2$ = $640mm$
Intial volume $V_1$ = $300cc$

Using Ideal gas equation,

$\frac{P_1{V}_1}{T_1}$ = $\frac{p_2{V}_2}{T_2}$

$\frac{620\times 300}{300}$ = $\frac{640\times V_2}{320}$

$V_2$ = $310cc$