One mole of monatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in JK -1 mol -1 ) at constant volume is (Let R=8 JK -1 mol -1 )

Question

One mole of monatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in JK -1 mol -1 ) at constant volume is (Let R=8 JK -1 mol -1 ) (A) 18 (B) 19 (C) 20 (D) 21

Tardigrade Admin · Accepted Answer

n1=1 mole f1=3 n2=3 moles f2=5 R=8 JK -1 mol -1 Molar specific heat are given by the weighted means of the gases. Cvf=(n1 × Cv1+n2 × CV2/n1+n2) Cvf=(1 × (3/2) R+3 × (5/2) R/4) =(3/8) R+(15/8) R =(18/8) R Cvf=18

Q. One mole of monatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in JK−1mol−1 ) at constant volume is (Let R=8JK−1mol−1 )

18

19

20

21

n1​=1 mole f1​=3 n2​=3 moles f2​=5 R=8JK−1mol−1 Molar specific heat are given by the weighted means of the gases. Cvf​​=n1​+n2​n1​×Cv1​​+n2​×CV2​​​ Cvf​​=41×23​R+3×25​R​ =83​R+815​R =818​R Cvf​​=18

Q. One mole of monatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in $J K^{- 1} m o l^{- 1}$ ) at constant volume is (Let $R = 8 J K^{- 1} m o l^{- 1}$ )