   Chapter 31, Problem 3PE

Chapter
Section
Textbook Problem

(a) Repeat Exercise 31.2, and convert the energy to joules or calories. (b) If all of this energy is converted to thermal energy in the gas, what is its temperature increase, assuming 50.0 cm3 of ideal gas at 0.250−atm pressure? (The small answer is consistent with the fact that the energy is large on a quantum mechanical scale but small on a macroscopic scale.)

To determine

(a)

The energy deposited in order to create 4000 ion pairs in joules.

Explanation

Given info:

Energy needed to create each ion pair

Ei=30.0 eV

Number of ion pairs created

n=4000

Formula used:

The energy deposited to create n pairs of ions is given by,

E=nEi

Calculation:

Substitute the given values of variables in the formula and calculate the energy deposited.

E=nEi=400030.0 eV=1.20×105eV

Express the energy deposited in joules

To determine

(b)

The increase in the temperature of the gas when the energy calculated in part (a) is converted into thermal energy.

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