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Chapter 8: Q. 8.74 (page 282)

A fire extinguisher has a pressure of 10atmat 25掳C. What is the final pressure, in atmospheres, when the fire extinguisher is used at a temperature of 75掳C, if Vandndo not change?

Short Answer

Expert verified

The final pressure of fire extinguisher is11.67atm.

Step by step solution

01

Given Information

We have given the pressure of the fire extinguisher is10atmand the temperature is25掳C.

02

Explanation

Considering the Gay- Lussac's Law that if a constant volume and amount of gas are maintained, the pressure will be increased. In the temperature-pressure relationship which is known as Gay-Lussac's law, the pressure of a gas decreases, and a decrease in temperature decreases the pressure of the gas till the volume of the gas doesn't change. i.e.

P1T1=P2T2...1

03

Calculation

Here we have the quantities available, that is

the initial temperature T1=25掳C=25+273K=298K,

initial pressure P1=10atm

and the final temperature T2=75掳C=75+273K=348K

Calculating the final pressure P2, from equation 1

P2=P1脳T2T1

Using the values

P2=10atm脳348K298KP2=11.67atm

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