Answer : The volume of gas is, 10 L
Explanation:
According top the Boyle's Law, the pressure of a gas is inversely proportional to the volume of the gas.
\(P\propto \frac{1}{V}\)
or,
\(\frac{P_1}{P_2}=\frac{V_2}{V_1}\)
where,
\(V_1\) = initial volume of gas = 5 L
\(V_2\) = final volume of gas = ?
\(P_1\) = initial pressure of gas = 100 kPa
\(P_2\) = final pressure of gas = 50 kPa
Now put all the given values in the above formula, we get the final volume of the gas.
\(\frac{100kPa}{50kPa}=\frac{V_2}{5L}\)
\(V_2=10L\)
Therefore, the volume of gas is, 10 L
