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How many collisions does a single Ar atom make in 1.0 s when the temperature is 25C and

Chapter 21, Problem 21.5(a)

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QUESTION:

How many collisions does a single Ar atom make in 1.0 s when the temperature is 25C and the pressure is (a) 10 atm, (b) 1.0 atm, (c) 1.0 atm?

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QUESTION:

How many collisions does a single Ar atom make in 1.0 s when the temperature is 25C and the pressure is (a) 10 atm, (b) 1.0 atm, (c) 1.0 atm?

ANSWER:

Step 1 of 5

The kinetic molecular theory gives the equation for the collision frequency as shown below.

Where  is the mean free path and  is the root mean square velocity.

Theis given by the equation as follows.

Where, M is the mass, T is the temperature and the R is the universal gas constant equal to  .

Given,

 

Molar mass of argon atom is  .

The can be calculated as shown below.

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