Kinetic Theory

Q1.The RMS speed of oxygen (M = 32 g/mol) at 300 K is approximately (R = 8.314 J/mol·K):

• A484 m/s
• B242 m/s
• C968 m/s
• D121 m/s

Q2.For a diatomic gas at high temperatures (vibrational modes active, f = 7), the ratio γ = Cp/Cv is:

• A9/7
• B7/5
• C5/3
• D4/3

Q3.The mean free path of nitrogen molecules at STP (n = 2.7×10²⁵ m⁻³, d = 2×10⁻¹⁰ m) is approximately:

• A6.6×10⁻⁸ m
• B6.6×10⁻⁶ m
• C6.6×10⁻¹⁰ m
• D6.6×10⁻⁴ m

Q4.The internal energy of 2 moles of a monoatomic gas at 400 K is:

• A2494 J
• B9976 J
• C4988 J
• D14964 J

Q5.The pressure exerted by 2 moles of an ideal gas at 300 K in a 5 L container is approximately (R = 8.314 J/mol·K):

• A9.98×10⁵ Pa
• B4.99×10⁵ Pa
• C2.49×10⁵ Pa
• D1.99×10⁶ Pa