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Nutka1998 [239]
3 years ago
13

A gas is placed in a storage tank at a pressure of 30.0 atm at 20.3 C. As a safety device, a small metal plug in the tank is mad

e of a metal alloy that melts at 130 C. If the tank is heated, what is the maximum pressure (in atm) that will be attained in the tank before the plug melts and releases gas?
Chemistry
1 answer:
QveST [7]3 years ago
8 0

Answer: 41.2 atm

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,

\frac{P_1}{T_1}=\frac{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=30.0atm\\T_1=20.3^0C=(20.3+273)=293.3K\\P_2=?\\T_2=130^0C=(130+273)K=403K

Putting values in above equation, we get:

\frac{30.0}{293.3K}=\frac{P_2}{403}\\\\P_2=41.2atm

The maximum pressure (in atm) that will be attained in the tank before the plug melts and releases gas is 41.2

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