Friday, August 13, 2021

If a gas occupies a volume of 0.25 L at –2.3°C, by what amount would the volume increase if the gas were heated to 82°C at constant pressure?

If a gas occupies a volume of 0.25 L at –2.3°C, by what amount would the volume increase if the gas were heated to 82°C at constant pressure?


Solution

 P1=P2 so we don’t have to worry about P. T is in KELVIN< add 273K=0C

P1V1=kT1
P2V2=kT2

dividing and canceling Ps

V2/V1=T2/T1
V2=(T2/T1) V1 (don’t plug in numbers until the very end)

V2=(355/270.7) 0.25L

=0.33L

Do not write 0.3279. You were only given two significant figures.

YOU’RE NOT DONE. One more step.

Does this make sense? The gas has been HEATED. It must EXPAND. It HAS.

This step was missed by both the other posters. Ergo, even thought they both understood the formula, they missed the Physics. They are both wrong.

0.131 is wrong for 3 reasons. It has too many significant figures. It has no units. It is less than 0.25L. The gas has miraculously contracted upon being heated.

The mistake he made is that he said 0C=237K. He could’ve caught it, but didn’t.

0.19 L is also a miraculous gas.

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