Question

An ideal gas is held in a container of volume V at pressure P. The average speed of a gas molecule under these conditions is v. If now the volume and pressure are changed to 2V and 2P, the average speed of a molecule will be`

• A. 1/2 v
• B. v
• C. 2v
• D. 4v

Answer 1

Answer: (C)

2v

Answer 2

PV = $\frac{1}{3}m_{o}Nv_{rms}^{2}$

(2P) (2V) = \frac{1}{3}m_{o}Nv'_{rms}^{2}

v¢_rms = 2v_rms = 2v