Question

If a given mass of gas occupies a volume of $10\text{cc}$ at $1\text{atm}$ pressure and temperature ${100}^{\circ }\text{C}$. What will be its volume at $4\text{atm}$, the temperature being the same?

• A. $104\text{cc}$
• B. $2.5\text{cc}$
• C. $400\text{cc}$
• D. $10\text{cc}$

Answer 1

The correct option is B $2.5\text{cc}$

We know,
For a given mass of an ideal gas at constaat temperature,
$PV=$ constant
$\Rightarrow P_1{V}_1=P_2{V}_2$
$\Rightarrow 1\text{atm}\times 10\text{cc}=4\text{atm}\times V_2$
$\Rightarrow V_2=\frac{10}{4}=2.4\text{cc}$