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A gas sample has a pressure of 2.35atmwhen the temperature is -15°C. What is the final pressure, in atmospheres, when the temperature is 46°C, with no change in the volume or amount of gas?

Short Answer

Expert verified

The final pressure of the gas is 2.9atm.

Step by step solution

01

Given Information

We need to find the final temperature of the gas.

02

Simplify

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=-15°C=-15+273K=258K

initial pressure P1=2.35atm

the final temperature T2=46°C=46+273K=319K

Now, calculating the final pressure P2from the equation 1

P1T1=P2T2P2=P1×T2T1

Putting the values:

P2=2.35atm×319K258KP2=749.65atm258=2.9atm

The final pressure is 2.9atm.

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