   Chapter 12, Problem 9P

Chapter
Section
Textbook Problem

One mole of an ideal gas initially at a temperature of Ti = 0°C undergoes an expansion at a constant pressure of 1.00 atm to four times its original volume. (a) Calculate the new temperature Tf of the gas. (b) Calculate the work done on the gas during the expansion.

(a)

To determine
the new temperature of the gas after the expansion in constant temperature.

Explanation

Given Info

Initial temperature of the gas is 0°C .

Constant pressure of the gas is 1atm .

From ideal gas equation,

PV=nRT

• P is the pressure of the gas
• V is the volume of the gas
• n is the amount of substance of gas in moles
• R is the universal gas constant
• T is the absolute temperature

From this equation,

PVfTf=PViTi

So,

Tf=Ti[VfVi]

• Tf is the finial temperature<

(b)

To determine
the work done on the gas during expansion.

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