Question

If pressure becomes double at the same absolute temperature on 2 L of $C{O}_2$ , then what will be the final volume of $C{O}_2$?

• A. 1 L
• B. 25 L
• C. 2 L
• D. 4 L

Answer 1

The correct option is A 1 L

When the temperature of a gas is kept constant, the volume of a fixed mass of gas is inversely proportional to its pressure i.e. PV = Constant

Let, initial pressure $\left(P_1\right)$ = 1 atm
Then final pressure $\left(P_2\right)$ = 2 atm
Initial volume $\left(V_1\right)$ = 2 L
Final volume $\left(V_2\right)$ = ?

$\frac{P_1}{P_2}$ = $\frac{1}{2}$

Since, PV = Constant, $P_1\times V_1=P_2\times V_2$

$\frac{V_1}{V_2}$ = $\frac{P_2}{P_1}$ = $\frac{2}{1}$

$\frac{2L}{V_2}$ = $\frac{2}{1}$ ;
$V_2$ = 1 L