   Chapter 12, Problem 26P

Chapter
Section
Textbook Problem

An ideal diatomic gas expands adiabatically from 0.750 m3 to 1.50 m3. If the initial pressure and temperature are 1.50 × 105 Pa and 325 K, respectively, find (a) the number of moles in the gas, (b) the final gas pressure, (c) the final gas temperature, and (d) the work done on the gas.

(a)

To determine
The number of moles in the gas.

Explanation

Given Info:

The initial volume of the gas is 0.750m3 .

The final volume of the gas is 1.50m3 .

Initial pressure of the gas is 1.50×105Pa .

The initial temperature of the gas is 325K

Formula to calculate the number of moles in the gas is

n=PVRT

• P is the pressure of the gas
• V is the volume of the gas
• R is the universal gas constant
• T is absolute temperature

For the initial conditions,

n=PiViRTi

Substitute 1.50×105Pa for Pi , 0

(b)

To determine
the final gas pressure.

(c)

To determine
The finial gas temperature of the gas.

(d)

To determine
the work done on the gas.

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