A gas in a can of spray paint is initially at room temperature (25°C). On a particularly hot day, the temperature of the gas in the can reaches 77°C and exerts a pressure of 8.7 atm. What was the initial pressure of the gas in the can of spray paint, in atmospheres?

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A gas in a can of spray paint is initially at room temperature (25°C). On a particularly hot day, the temperature of the gas in the can reaches 77°C and exerts a pressure of 8.7 atm. What was the initial pressure of the gas in the can of spray paint, in atmospheres? 

Expert Solution
Step 1

A gas is taken in a can of spray. It exerts a certain amount of pressure when heated. However, the volume does not change. The volume of the gas remains the same in this process as it is confined in a can of fixed volume.

Step 2

Initial temperature (T1)=25°C=298 KFinal temperature (T2)=77°C=350 KFinal pressure (P2)=8.7 atmInitial Pressure (P1)=P2T1T2=8.7×298350=7.4077.4 atm

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