Answer: The final pressure inside a scuba tank is 30.5 atm
Explanation:
To calculate the final temperature of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.
Mathematically,
[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]
where,
[tex]P_1\text{ and }T_1[/tex] are the initial pressure and temperature of the gas.
[tex]P_2\text{ and }T_2[/tex] are the final pressure and temperature of the gas.
We are given:
[tex]P_1=130.4\\T_1=1.00\times 10^3^0C=(1000+273)K=1273K\\P_2=?\\T_2=25.0^0C=(25.0+273)K=298K[/tex]
Putting values in above equation, we get:
[tex]\frac{130.4}{1273K}=\frac{P_2}{298}\\\\P_2=30.5atm[/tex]
Hence, the final pressure inside a scuba tank is 30.5 atm
