Question

The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes

• A. Twice
• B. Half
• C. Four times
• D. One-fourth

Answer 1

Answer: (A)

Twice

Answer 2

$v _ { r m s } \propto \sqrt { T }$ $\frac{v_{2}}{v_{1}} = \sqrt{\frac{T_{2}}{T_{1}}}$Ž$v_{2} = \sqrt{\frac{(273 + 927)}{(273 + 2)}}$

Ž$v_{2} = 2v_{1}$