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(a) A piston at 2.6 atm contains a gas that occupies a volume of 3.5 L. What pre

ID: 1057345 • Letter: #

Question

(a) A piston at 2.6 atm contains a gas that occupies a volume of 3.5 L. What pressure would have to be placed on the piston to force the volume to adjust to 1.35 L?
atm

(b) A piston at -10.0°C contains a gas that occupies a volume of 2.5 L. To what temperature would the gas have to be heated to increase the volume to 5.7 L at constant pressure?
°C

(c) A piston at 7295 torr contains a gas that occupies a volume of 4.7 L. What pressure would have to be placed on the piston to force the volume to adjust to 0.47 L?
atm

Explanation / Answer

a)

apply ideal gas law ratios

P1V1 = P2V2

2.6*3.5 = 1.35*P2

P2 = 2.6*3.5/1.35

P2 = 6.7407 atm

b)

apply ratios

V1/T1 = V2/T2

2.5/(-10+273) = 5.7/T2

T2 = 5.7/2.5*(263) = 599.64 K --> 600-273 = 326.64 C°

b)

P1V1 = P2V2

7295 * 4.7 = P2*0.47

P2 = 10*7295 = 72950 torr