   Chapter 10, Problem 44P

Chapter
Section
Textbook Problem

A sealed cubical container 20.0 cm on a side contains a gas with three times Avogadro’s number of neon atoms at a temperature of 20.0°C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).

(a)

To determine
The internal energy of the gas.

Explanation

Given info: The number of moles (n) is 3. The temperature (T) is 20οC . The side of the cube(r) is 20 cm. Molar mass of neon gas is 20.180×103kg/mol .

Formula to calculate the internal energy of the gas is,

U=32nRT

• R is the gas constant.

Substitute 3 mol for n, 20οC for T and 8.31Jmol1K1 for R in the above equation to get U.

U=32(3mol)(8

(b)

To determine
The total translational kinetic energy of the gas ( (KE)total ).

(c)

To determine
The average kinetic energy per atom ( (KE)avg ).

(d)

To determine
The gas pressure.

(e)

To determine
The gas pressure.

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