1 mole of gas is initially at 0°C . It is allowed to expand at constant pressure to double it's volume. How much heat is required? given Cv=20.7J mol^-1K^-1 and R= 8.31 J mol^-1 K^-1.
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(a) Specific Heat Capacity at Constant Volume (cv) ... Total energy, U = mN 3 [(1/2) KT], Here m is the number of moles of the gas and N ... C v =1/m (dU/dT) = (1/m) (m3N) (1/2 k) = (3/2) R.
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In isothermal reversible expansion,
we have;
w=−2.303∗nRTlog V2/V1
w=2.303∗1∗8.314∗298log 20 /10
w=2.303∗1∗8.314∗298log2
w=−1779.6J
w=2.303∗1∗2∗298log2=−206.6cal.
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