What volume would a sample of gas that has a volume of #1.63*L# at #793*"mm Hg"# occupy at #755*"mm Hg"#?

1 Answer
Feb 10, 2018

Again it is highly non-standard (and dangerous) to quote a pressure in #mm*Hg# for pressures OVER 1 atmosphere.

Explanation:

We know that #1*atm-=760*mm*Hg#...or that one atmosphere will support a column of mercury that is #760*mm# high...pressures higher than one atmosphere ARE NEVER quoted in #mm*Hg# (except in these scenarios where some punter who has NEVER used a mercury manometer mistakenly proposes an illegitimate measurement).

And so #793*"Torr"-=(793*"Torr")/(760*"Torr"*atm^-1)=1.04*atm#

And given #P_1V_1=P_2V_2#...

#V_2=(P_1V_1)/P_2=((755*"Torr")/(760*"Torr"*atm^-1))/(1.04*atm)xx1.63*L=1.56*L#..

Reasonably, the volume has reduced slightly. But your chemistry teacher has no business asking questions with these whack units.