a sealed container with thin metal walls has 4.0 moles of diatomic ideal gas. it
ID: 3896275 • Letter: A
Question
a sealed container with thin metal walls has 4.0 moles of diatomic ideal gas. it has a freely moving, nearly massless piston on top so that the pressure begins at atmospheric. it remains emersed except for the top in a bucket of well mixed ice water. weights are then added to the piston to double the pressure. a. name the process b. specify or calculate the initial volume and temp c. specify or calculate final pressure, volume, temp d. calculate the heat (input or output - specify), work (input or output), and change in thermal energy for the gas.Explanation / Answer
a)
The process is isothermal.
b)
Temperature of ice-water = 0 deg C
Therefore, Initial temperature T1 =0 deg C = 273 K
P1*v1 = n*Ru*T1
1.01325*10^5 *V1 = 4*8.314*273
V1 = 0.0896 m^3
c)
P2 = 2*P1 = 2*1 atm = 2 atm = 2.0265 bar
T2 = T1 = 0 deg C = 273 K
V2 = (P1 / P2)*V1
V2 = (1/2)*0.0896
V2 = 0.0448 m^3
d)
Work input W = n*R*T1 ln (P1 / P2)
W = 4*8.314*273 ln (1/2)
= -6293 J
Internal energy change U2 - U1 = n*Cv*(T2 - T1)
Since T1 = T2, we have U2 - U1 = 0.
Q - W = U2 - U1
Q - (-6293) = 0
Q = -6293 J
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