Question

A dorm room measures 3m x 3m x 2m, (a) how many air molecules does it...

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?

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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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