If the volume and temperature of a sample of gas are increased at constant pressure, the average molecular velocity , the average force of an individual collision , and the average number of collisions with the wall per second.

Question:

Options

A)increases, increases, increases

B)increases, increases, decreases

C)increases, decreases, increases

D)increases, decreases, decreases

E)none of the above

The correct option is;

A) increases, increases, increases

Explanation:

Here we have the equations of the kinetic theory of gases as follows

.........(1)

.........(2)

Where

P = Pressure

= Root mean square velocity

MW = Molecular weight

V = Volume

R = Universal gas constant

T = Temperature

From the above it is seen that when the temperature of the gas is increased the average velocity increases

Also at constant pressure, according to Charles law an increase in temperature will lead to an increase in volume volume

While according to Avogadro's law at constant pressure and temperature, the force of molecule to wall collision is constant increasing the temperature increases the average force and frequency of individual collisions, more so according to equation (2).