Question

Rms velocity of a perfect gas at 27°C is
500 m/s. The same at 927°c will be
a) 5000 m/s
b) 2000 m/s
1000 m/s d) 3000 m/s​

Answer 1

Answer :

RMS velocity of gas at 27°C is 500m/s.

We have to find velocity of the same gad at 927°C$.$

★ RMS velocity of gas at T k is given by

• Vrms = √(3RT/M)

R denotes gas constant

T denotes temperature

M denotes molar mass of gas

Here R and M are constants so we can say that, RMS velocity of gas is directly proportional to the square root of temperature.

• Vrms ∝ √T

★ Conversion :

We know that, K = °C + 273

• T = 27 + 273 = 300K
• T' = 927 + 273 = 1200K

⭆ Vrms/V'rms = √300/√1200

⭆ V'rms = √4 × Vrms

⭆ V'rms = 2 × 500

⭆ V'rms = 1000 m/s

∴ (C) is the correct answer.

Cheers!

Answer 2

c. 1000ms is the right ans

hope it help