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Banyans
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Homework Statement
117 J of energy is supplied as heat to 2.00 moles of an ideal gas at constant
pressure, the temperature rises by 2.00 K. Calculate the molar heat capacity at
constant pressure C_p,m and the molar heat capacity at constant volume C_v,m
for the gas. Is the gas monatomic or diatomic?
Homework Equations
PV = nRT
ΔQ = n Cp ΔT
The Attempt at a Solution
ΔQ = 117 J
n = 2 moles
ΔT = 2 K
ΔQ = n Cp ΔT = n αR ΔT
Cp = ΔQ/ (nΔT) = 29.25 J/K mole
Cp/R = 3.52
For ideal gases equation of state is
PV = nRT,
and work performed by the gas in isobaric process is
dA = PdV = nRdT,
which means Cv = Cp - R = 2.52 R.
But I have no idea how to relate this information to work out if its diatomic or monatomic.