Question

The r.m.s. speed of a certain gas is v at 127°C K. The temperature at which the r.m.s. speed becomes two times, will be ______.

Options

• 527°C

• 1327°C

• 1227°C

• None of these

Answer 1

None of these

Explanation:

`v_{rms} ∝ sqrtT`

⇒ `T_2/T_1 = v_2^2/v_1^2 = (4v^2)/v^2 = 4`

⇒ `T_2 = 4T_1 = 4 xx 400 = 1600` K