Question

A gas is placed in a storage tank at a pressure of 31.7 atm at 63.4 oC . As a safety device, a small metal plug in the tank is made of a metal alloy that melts at 111 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

The maximum pressure that will be attained in the tank before the plug melts and releases gas is = 36.18 atm

Step-by-step explanation:

Given data

Initial pressure
`P_1` = 31.7 atm

Initial Temperature
`T_1` = 63.4 °c = 336.4 K

Final temperature
`T_2` = 111 °c = 384 K

From ideal gas equation

P V = m R T

Here Volume , mass & temperature is constant

So pressure is directly proportional to the temperature.

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

Put all the values in above formula we get

`(P_2)/(31.7) = (384)/(336.4)`

`P_2` = 36.18 atm

Therefore the maximum pressure that will be attained in the tank before the plug melts and releases gas.