A sealed box contains a monatomic ideal gas. The number of gas atoms per unit volume is 6.76*1020 atoms/cm3, and the average translational kinetic energy of each atom is 2.70*10-23 J

Here we will find the pressure exerted by the gas?

Kinetic theory of gases shows the relationship between the Pressure of an ideal gas with the speed of molecules, or their average translational kinetic Energy

P = 0.667N/Vvr

where

P = Gas pressure?

vr = average translational kinetic energy of each atom = 2.70*10⁻²³ J

N/V = number of gas atoms per volume = 6.76*10²⁰ atoms/cm³ = 6.76*10²⁶atoms/m³

P = 0.6667 x 6.76*10²⁶ x 2.70*10⁻²³ = 0.01217Pa