158k views
0 votes
A gas is placed in a storage tank at a pressure of 49.2 atm at 39.0C . As a safety device, a small metal plug in the tank is made of a metal alloy that melts at 198C . If the tank is heated, what is the maximum pressure that will be attained in the tank before the plug melts and releases gas?

User Sinthia V
by
8.6k points

1 Answer

5 votes

Answer:

The maximum pressure that will be attained in the tank before the plug melts and releases gas should be less than 74.26 atm.

Step-by-step explanation:

To calculate the final pressure 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=49.2 atm\\T_1=39.0^oC = 312.15 K\\P_2=?\\T_2=198^oC=471.15 K

Putting values in above equation, we get:


(49.2atm )/(312.15 K)=(P_2)/(471.15 K)\\\\P_2=74.26 atm

The maximum pressure that will be attained in the tank before the plug melts and releases gas should be less than 74.26 atm.

User Stine
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.