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Question

Chemistry Question on Laws of thermodynamics

For combustion of one mole of magnesium in an open container at 300K and 1bar pressure, ΔCHΘ=-601.70kJ mol-1, the magnitude of change in internal energy for the reaction is______ kJ. (Nearest integer) (Given : R = 8.3 J K-1 mol-1)

Answer

The correct answer is 600
Mg(s)+12O2MgO(s)Mg(s)+\frac{1}{2}O2→MgO(s)
ΔH=ΔU+ΔngRTΔH=ΔU+ΔngRT
Δng=12Δng=−\frac{1}{2}
601.70=ΔU12(8.3)(300)×103−601.70=ΔU−\frac{1}{2}(8.3)(300)×10^{−3}
ΔU = –601.70 + 1.245
ΔU ≃ –600 kJ
Hence , Magnitude of change in internal energy is 600 kJ.