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(a) A piston at 6.7 atm contains a gas that occupies a volume of 3.5 L. What pre

ID: 964231 • Letter: #

Question

(a) A piston at 6.7 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 0.11 L? atm (b) A piston at 13.0°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 7.3 L at constant pressure? °C (c) A piston at 9045 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 1.14 L? atm

Explanation / Answer

a) Assuming ideal gas behavior and an isothermal process:

P2 = P1 / (V2/V1)

P2 = 6.7 atm / (0.11L / 3.5 L)

P2 = 6.7 / 0.031428 = 213.18 atm

b) Asumming isochoric process, and ideal gas behavior:

T2 = T1 (V2/V1)

T2 = (13 + 273) * (7.3L /2.5L) = 835.12 K = 562.12 ºC

c) 9045 torr = 11.90 atm

Assuming ideal gas behavior and isothermal process:

P2 = P1 / (V2/V1)

P2 = 11.90 atm / (1.14L / 4.7L)

P2 = 49.0614 atm