Question

The temperature of an ideal gas, initially at 27°C, is raised by 12°C. The rms velocity of the gas molecules will, ______ 

Options

• increase by nearly 2%

• decrease by nearly 2%

• increase by nearly 1%

• decrease by nearly 1%

Answer 1

The temperature of an ideal gas, initially at 27°C, is raised by 12°C. The rms velocity of the gas molecules will increase by nearly 2%.

Explanation:

v_rms ∝ `sqrt"T" ⇒ (Delta"v")/"v" = 1/2(Delta"T")/"T" = 1/2 xx 12/300 = 1/50`

∴ The rms velocity will increase nearly by 2%.