Question

Select the correct option(s) for an ideal gas.

• A. Most probable speed increases with increase in temperature
• B. Fraction of particles moving with most probable speed increases with increase in temperature
• C. Fraction of particles moving with most probable speed are more for $C{l}_2$ than $H_2$ under similar condition of T, P & V
• D. Most probable speed is more $C{l}_2$ than $H_2$ at same temperature

Answer 1

Answer: (A), (C)

Most probable speed increases with increase in temperature
Fraction of particles moving with most probable speed are more for $C{l}_2$ than $H_2$ under similar condition of T, P & V

(A) Most probable speed increases with an increase in temperature.
$\sqrt{\frac{2RT}{M}}$

(B) The fraction of particles moving with most probable speed decreases with an increase in temperature.
With an increase in the temperature, the most probable velocity increases and the fraction of molecules decreases.

(C) The fraction of particles moving with most probable speed is more for $C{l}_2$ than $H_2$ under a similar condition of T, P & V.
The most probable speed is inversely proportional to the molar mass. Higher is the molar mass, lower will be the most probable speed and higher will be the fraction of molecules moving at most probable speed.

(D) Most probable speed is lower for chlorine than for hydrogen at the same temperature.
The most probable speed is inversely proportional to the molar mass. Higher is the molar mass, lower will be the most probable speed.