One mole of hydrogen (H₂) is mixed with one mole of helium at the same temperature. Find γ = Cₚ/Cᵥ of the ideal-gas mixture.
Physics · Mixed Chapter
JEE Main Practice

Question

One mole of hydrogen (H₂) is mixed with one mole of helium at the same temperature. Find γ = Cₚ/Cᵥ of the ideal-gas mixture.

G1 Physics · Accepted Answer

Step 1: H₂ (diatomic, vibration neglected): Cᵥ=5R/2 and Cₚ=7R/2. Step 2: Helium (monatomic): Cᵥ=3R/2 and Cₚ=5R/2. Step 3: Total Cᵥ=(5R/2)+(3R/2)=4R; total Cₚ=(7R/2)+(5R/2)=6R. Step 4: γ=6R/(4R)=1.5.