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Chapter 19: Q26P (page 578)

Question: What is the average translational kinetic energy of nitrogen molecules at 1600 K?

Short Answer

Expert verified

Answer

The average translational kinetic energy of nitrogen moleculesis3.31脳10-20J.

Step by step solution

01

Given data  

The temperature of the nitrogen gas molecules is 1600 K.

02

Understanding the concept

The expression for the average kinetic energy is given by,

Kavg=32KT

Here K is the Boltzmann constant, T is the temperature, Kavg is the average kinetic energy.

The value of k is equal to the1.38脳10-23鈥�J/molecule鈥�路K .

03

Calculate the average translational kinetic energy

Using the expression of the kinetic average energy,

Kavg=32KT

Substitute 1.38脳10-23鈥�J/molecule鈥�路Kfor k , 1600 k for T into the above equation,

Kavg=32脳1.38脳10-23脳1600Kavg=3.31脳10-20J

Therefore the average translational kinetic energy of nitrogen moleculesis3.31脳10-20J.

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