Question

A dorm room measures 3m x 3m x 2m, (a) how many air
molecules does it contain (*hint: assume air is an ideal
gas*)

(b) What is the total translational KE of these
molecules? (*hint:**in* *an ideal gas, thermal energy
provide translational KE*)

(c) How is this energy compared to the KE of a 2000kg
car going at 108km/h?

Answer #1

a.

The ideal gas equation relating pressure (P), Volume (V), and absolute temperature (T) can be written as:

At Normal Conditions; P = 1 atm and T = 300 K

No , of molecules :

b.

c.

v = 108 km/h = 30 m/s

Kinetic Energy of Car is times than the Kinetic Energy of molecules in the room.

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