HC Verma Chapter 23 Problem 44

Problem

10^23 O2 in 2-litre at 300 K. Pressure?

Key Concepts

PV=Nk_B T

Solution

P=Nk_B T/V=(1e23x1.38e-23×300)/2e-3=414/0.002=2.07e5 Pa

Answer

2.07 x 10^5 Pa (~2 atm)

Concept Check

PV=Nk_B T is microscopic ideal gas law.

Common Mistakes

Using R with count N instead of k_B.

Practice Tip

Nk_B=nR.