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Q. 53

Expert-verified
Found in: Page 568

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A gas of atoms or molecules has of thermal energy. Its molar specific heat at constant pressure is . What is the temperature of the gas?

The molecular temperature is

See the step by step solution

## Step 1: Definition of the temperature of gas

The temperature of a gas determines the average translational kinetic energy of the molecules.

The molecules in a hot gas move faster than those in a cold gas; the mass is constant, but the kinetic energy, and hence the temperature, is higher due to the molecules' increased velocity.

## Step 2:Expalation

If the weather changes, by , then the thermoelectric power for a gas changes by the equation in the form

--------(1)

Where is the molecule initial temperature at constant volume, and it has a relationship with the molar specific heat at constant pressure. by

We solve equation for to be in the form

is the number of moles there are. Knowing how many molecules there are , we can get the number of moles by using Avogadro's number as next

## Step :3 Substitution

Now substitute we get,