NTA Abhyas 2020
Exam NTA Abhyas
Year 2020
Subject Chemistry
Chapter States of Matter NTA Abhyas 2020 · Chemistry · States of Matter
One mole of an ideal monoatomic gas is mixed with one mole of an...
One mole of an ideal monoatomic gas is mixed with one mole of an ideal diatomic gas. The molar specific heat of the mixture at constant volume is (in Calories)
Step-by-step solution
C v,m = 3 2 R {\text{C}}_{\text{v,m}} \text{=}\dfrac{\text{3}}{\text{2}} \text{R} C v,m = 2 3 R (for monoatomic gas)
C v,m = 5 2 R {\text{C}}_{\text{v,m}} \text{=}\dfrac{\text{5}}{\text{2}} \text{R} C v,m = 2 5 R (for diatomic gas)
for the mixture,
(C v,m ) mix = 3 2 R × 1 + 5 2 R × 1 1 + 1 {{\text{(C}}_{\text{v,m}} \text{)}}_{\text{mix}} = \dfrac{\dfrac{3}{2} \text{R} \times 1 + \dfrac{5}{2} \text{R} \times 1}{1 + 1} (C v,m ) mix = 1 + 1 2 3 R × 1 + 2 5 R × 1 = 2 R = 2\text{R} = 2 R ∴ (C v,m ) mix = 4 cal ∴ {{\text{(C}}_{\text{v,m}} \text{)}}_{\text{mix}} = 4\text{cal} ∴ (C v,m ) mix = 4 cal
Practice States of Matter on Quantrex Academy →
← Previous question For a given one mole of ideal gas kept at 6.5atm in a container of capacity 2.463L , the…Next question → An open vessel at 27 ^ o C is heated until 3/8 ^ th of the air in it has been expelled.…
