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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

Respuesta :

Answer:

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 [tex]P_1[/tex] = 31.7 atm

Initial Temperature [tex]T_1[/tex] = 63.4 °c = 336.4 K

Final temperature [tex]T_2[/tex] = 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.

[tex]\frac{P_2}{P_1}= \frac{T_2}{T_1}[/tex]

Put all the values in above formula we get

[tex]\frac{P_2}{31.7} = \frac{384}{336.4}[/tex]

[tex]P_2[/tex] = 36.18 atm

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