Respuesta :
Answer: The new temperature will be -161.25°C
Explanation:
To calculate the final temperature 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=40.0L\\T_1=25^oC=(25+273)K=298K\\V_2=15.0L\\T_2=?[/tex]
Putting values in above equation, we get:
[tex]\frac{40.0L}{298K}=\frac{15.0L}{T_2}\\\\T_2=\frac{15.0\times 298}{40.0}=111.75K[/tex]
Converting the temperature from kelvins to degree Celsius, by using the conversion factor:
[tex]T(K)=T(^oC)+273[/tex]
[tex]111.75K=T(^oC)+273\\T(^oC)=-161.25^oC[/tex]
Hence, the new temperature will be -161.25°C
