**Show that**

P = Nv KT

Where Nv = No of molecules per unit volume

**Proof**

According to kinetic equation of pressure

P = 1/3 r v2 ………………(1)

We know that:

r = mass / volume

r = mN / V

Putting the value of “r” in equation (1)

P = 1/3 mN/V v2

P = 1/3 N/V mv2……………(2)But N/V = no of molecules per unit volume

i.e.

N/V = Nv

Putting the value of N/V in eq (2)

P = 1/3 Nv mv2

Multiply and dividing by 2 on R.H.S

P = 2/3 Nv (1/2mv2)

P = 2/3 Nv 3/2 KT [1/2mv2 = 3/2 KT]

P = Nv KT

For further actions, you may consider blocking this person and/or reporting abuse

## Top comments (0)