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Chapter 3: Q65P (page 614)

A sealed box contains a monatomic ideal gas. The number of gas atoms per unit volume is, and the average translational kinetic energy of each atom is . (a) What is the gas pressure? (b) If the gas is neon (molar mass ), what is for the gas atoms?

Short Answer

Expert verified

(a) The pressure of the gas is .

(b) for the neon gas is

Step by step solution

01

Determine the formula for translational kinetic energy and RMS

The translational kinetic energy depends on motion through space, and for a rigid body of constant mass is equal to the product of half the mass times the square of the speed

..................equation 1

The root mean square RMS expressed by

...........equation 2

Ideal gas equation expressed by

.................equation 3

02

Determine the pressure of gas

The temperature in one side

The average translational kinetic energy of each atom

Equate the temperature

Solve for the pressure of gas

Therefore ,the pressure of the gas is .

03

Determine for the neon gas

Molar mass of neon gas

solve for of neon gas from equation 2

Therefore , for the neon gas is .

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Most popular questions from this chapter

If you heat the air inside a rigid, sealed container until its Kelvin temperature doubles, the air pressure in the container will also double. Is the same thing true if you double the Celsius temperature of the air in the container? Explain.

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