CalculateDeltaU andDeltaH in calories if one moleofa monoatomic ideal gas is heated at constant pressure of 1 atom from 25^(@)C to 50^(@)C

CalculateDeltaU andDeltaH in calories if one moleofa monoatomic ideal

1.	CalculateDeltaU andDeltaH in calories if one moleofa monoatomic ideal gas is heated at constant pressure of 1 atom from 25^(@)C to 50^(@)C
Answer» Solution :For monoatomic ideal gas ,` C_(v) =(3)/( 2) R,C_(p) =(5)/(2) R` But `C_(p) =(DeltaH)/( DeltaT)` `:. DeltaH = C_(p)DeltaT mol^(-1)` ( or `nC_(p)DeltaT ` for nmoles) `=( 5)/( 2) xx1.987 xx25 = 124.2cal` Work done , ` w= -P DeltaV= -P(V_(2)-V_(1)) = -(PV_(2)-PV_(1))= - ( nRT_(2) - nRT_(1))= - NR(T_(2)-T_(1)) ` `= -1 xx 1.987 (323 -298 ) cal = -49.7 cal` ` DeltaU = q+w =124.2 - 49.7 cal =74.5 cal`