Question

RMS velocity of an ideal gas at 27°C is 500 m/s. Temperature is increased four times, rms velocity will become –

• A. 1000 m/s
• B. 560 m/s
• C. 2000 m/s
• D. None of these

Answer 1

Answer: (B)

560 m/s

Answer 2

v_rms µ $\sqrt{T}$ [T = temperature in Kelvin]

T₁ = 27 + 273 = 300 K

T₂ = 4 × 27 + 273 = 381 K

\ v₂ = $\sqrt{\frac{381}{300}}$× 500 ${}_{–}^{\sim}$ 560 m/s