Question

Calculate the final pressure inside a scuba tank after it cools from 1.00 x 103 °C to 25.0 °C. The initial pressure inside the tank was 130.4 atm.

Answer 1

Answer: The final pressure inside a scuba tank is 30.5 atm

Step-by-step 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,

`(P_1)/(T_1)=(P_2)/(T_2)`

where,

`P_1\text{ and }T_1` are the initial pressure and temperature of the gas.

`P_2\text{ and }T_2` are the final pressure and temperature of the gas.

We are given:

`P_1=130.4\\T_1=1.00* 10^3^0C=(1000+273)K=1273K\\P_2=?\\T_2=25.0^0C=(25.0+273)K=298K`

Putting values in above equation, we get:

`(130.4)/(1273K)=(P_2)/(298)\\\\P_2=30.5atm`

Hence, the final pressure inside a scuba tank is 30.5 atm