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ElectricEel1
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Homework Statement
A 1 liter container is filled with argon to pressure of 10^5Pa at 303K. Dropped into pool at temp 323K. How much heat is needed to heat the gas to 323K? what is the entropy change in the gas and the universe? ignore the entropy change in container.
Homework Equations
c_v=3/2*R
dq=cdt
deltaS=integral of dQ/T
The Attempt at a Solution
I started with the entropy:
reservoir:
T is constant so delta Q/ T_R = C(T_s-T_r)/T_r = 0.77. negative sign because its entropy reduced.
system:
evaluating the same integral with a non constant T gave me C*ln(T_r/T_s) = 0.79.
Universe:
change in the universes entropy was 0.02 after adding both of these together.
I'm unsure of these answers and at first I figured I should just use C(T_s-T_r) to find the heat added but the question mentions the initial pressure and the constant volume of 1 litre so I think I am missing something.
Thanks