Question

A gas is placed in a storage tank at a pressure of 36.0 atm at 22.0 oC . As a safety device, a small metal plug in the tank is made of a metal alloy that melts at 180 oC . If the tank is heated, what is the maximum pressure that will be attained in the tank before the plug melts and releases gas?

Answer 1

Answer : The maximum pressure that attained in the tank will be 55.3 atm

Explanation :

Gay-Lussac's Law : It is defined as the pressure of the gas is directly proportional to the temperature of the gas at constant volume and number of moles.

`P\propto T`

or,

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

where,

`P_1` = initial pressure = 36.0 atm

`P_2` = final pressure = ?

`T_1` = initial temperature =
`22.0^oC=273+22.0=295K`

`T_2` = final temperature =
`180^oC=273+180=453K`

Now put all the given values in the above equation, we get:

`(36.0atm)/(295K)=(P_2)/(453K)`

`P_2=55.3atm`

Thus, the maximum pressure that attained in the tank will be 55.3 atm