A monatomic ideal gas is held in a thermally insulated container with a volume o
ID: 2277201 • Letter: A
Question
A monatomic ideal gas is held in a thermally insulated container with a volume of 0.0750m3 . The pressure of the gas is 110kPa , and its temperature is 357K .Part A To what volume must the gas be compressed to increase its pressure to 145kPa ? V =
m3 Part B At what volume will the gas have a temperature of 300K ? V =
m3 A monatomic ideal gas is held in a thermally insulated container with a volume of 0.0750m3 . The pressure of the gas is 110kPa , and its temperature is 357K .
A monatomic ideal gas is held in a thermally insulated container with a volume of 0.0750m3 . The pressure of the gas is 110kPa , and its temperature is 357K .
A monatomic ideal gas is held in a thermally insulated container with a volume of 0.0750m3 . The pressure of the gas is 110kPa , and its temperature is 357K .
Part A To what volume must the gas be compressed to increase its pressure to 145kPa ? V =
m3 Part A To what volume must the gas be compressed to increase its pressure to 145kPa ? V =
m3 V =
m3 V =
m3 Part B At what volume will the gas have a temperature of 300K ? V =
m3
Explanation / Answer
P1V1^ g= constant
g = gamma = Cp/Cv = (5/2)?R / (3/2)?R = 5/3
From the adiabatic condition follows for initial(1) and final(2) state:
Therefore
V2 = V1 * (P?/P?)^(gamma)
= 0.075 m
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