What must be the new volume of a sample of nitrogen (in L) if 2.89 L at 742 torr and 23.6 °C is heated to 370.3 °C under conditions that let the pressure change to 767 torr?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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What must be the new volume of a sample of nitrogen (in L) if 2.89 L at 742 torr and 23.6 °C is heated to 370.3 °C under
conditions that let the pressure change to 767 torr?
Transcribed Image Text:What must be the new volume of a sample of nitrogen (in L) if 2.89 L at 742 torr and 23.6 °C is heated to 370.3 °C under conditions that let the pressure change to 767 torr?
Expert Solution
Step 1

The final volume of the gas can be measured by using the combined gas law. The combined gas law is:

Chemistry homework question answer, step 1, image 1

Where

P1 = initial pressure of gas = 742 torr

V1 = initial volume of gas = 2.89 L

T1 = initial temperature of gas = 23.6oC = 23.6oC +273.15 = 296.75 K

P2 = final pressure of gas = 767 torr

V2 = final volume of gas = ?

T2 = final temperature of gas = 370.3oC = 370.3oC +273.15 = 643.45 K

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