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Question

One mole of a non-ideal gas undergoes a change of state (2.0 atm, 3.0 litre, 95 k) (4.0 atm, 5.0 litre, 245 k) with a change in internal energy, Δ U = 30.0 L atm. The change in enthalpy (Δ H) of the process in L-atm is


A

40

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B

42.3

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C

44.0

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D

Not defined because the pressure is not constant

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Solution

The correct option is C

44.0


we clearly know that the enthalpy can be represented as:

H = U + PV

H1 = U1 + (2 × 3) = U1 + 6

H2 = U2 + (4 × 5) = U2 + 20

H2 H1 = U2 U1 + (20 6)

Δ H = Δ U + 14 = 30 + 14 = 44 L atm


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