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

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

Explanation:

Given data

Initial pressure = 31.7 atm

Initial Temperature = 63.4 °c = 336.4 K

Final temperature = 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.

Put all the values in above formula we get

= 36.18 atm

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