1.

When an ideal monoatomic gas is heated at constant pressure find (a) Fraction of heat energy which increases the internal energy (b) Fraction of heat energy which is utlized as work.

Answer» `DeltaQ=DeltaU+DeltaW`
(a) `(DeltaU)/(DeltaQ_P)=(nC_VDeltaT)/(nC_PDeltaT)=(1)/(gamma)=(1)/((5)/(3))=(3)/(5)`
(b) `(DeltaW)/(DeltaQ_P)=1-(DeltaU)/(DeltaQ_P)=1-(3)/(5)=(2)/(5)`
Or `(DeltaW)/(DeltaQ_P)=(PDeltaV)/(nC_PDeltaT)=(nRDeltaT)/(nC_PDeltaT)=(R)/((5R)/(2))=(2)/(5)`


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