Answer: The volume of the gas when the temperature of the gas is raised to [tex]125^0C[/tex] is 363 ml
Explanation:
To calculate the final volume of the system, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.
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=281ml\\T_1=35.0^oC=(35.0+273)K=308K\\V_2=?\\T_2=125^0C=(125+273)K=398K[/tex]
Putting values in above equation, we get:
[tex]\frac{281}{308}=\frac{V_2}{398}\\\\V_2=363ml[/tex]
Thus the volume of the gas when the temperature of the gas is raised to [tex]125^0C[/tex] if the pressure remains constant is 363 ml
