Answer : The new volume of the gas is, 32.5 mL
Explanation :
Charles' Law : It states that volume of the gas is directly proportional to the temperature of the gas at constant pressure and number o moles of gas.
Mathematically,
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1\text{ and }T_1[/tex] are the initial volume and temperature of the gas.
[tex]V_2\text{ and }T_2[/tex] are the final volume and temperature of the gas.
We are given:
[tex]V_1=30.0mL\\T_1=25.0^oC=(25.0+273)K=298K\\V_2=?\\T_2=50.0^oC=(50.0+273)K=323K[/tex]
Putting values in above equation, we get:
[tex]\frac{30.0mL}{298K}=\frac{V_2}{323K}\\\\V_2=32.5mL[/tex]
Therefore, the new volume of the gas is, 32.5 mL
