Answer: The final temperature of the gas is 440°C
Explanation:
To calculate the temperature when volume and pressure has changed, we use the equation given by combined gas law.
The equation follows:
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1,V_1\text{ and }T_1[/tex] are the initial pressure, volume and temperature of the gas
[tex]P_2,V_2\text{ and }T_2[/tex] are the final pressure, volume and temperature of the gasW
We are given:
[tex]P_1=2.35atm\\V_1=1.24L\\T_1=45^oC=[45+273]K=318K\\P_2=0.515atm\\V_2=12.7L\\T_2=?[/tex]
Putting values in above equation, we get:
Converting the temperature from kelvins to degree Celsius, by using the conversion factor:
[tex]T(K)=T(^oC)+273[/tex]
[tex]713.75=T(^oC)+273\\\\T(^oC)=440^oC[/tex]
Hence, the final temperature of the gas is 440°C
