Question

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

• A. $2\text{L}$
• B. $4\text{L}$
• C. $25\text{L}$
• D. $1\text{L}$

Answer 1

The correct option is D $1\text{L}$

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 $\left(V_2\right)$ = ?

Since, PV = Constant, $P_1\times V_1=P_2\times V_2$
$1\times 2=2\times V_2$
$V_2$ = 1 L