   Chapter 12, Problem 7P

Chapter
Section
Textbook Problem

A sample of helium behaves as an ideal gas as it is heated at constant pressure from 273 K to 373 K. If 20.0 J of work is done by the gas during this process, what is the mass of helium present?

To determine
The mass of the helium present in the gas sample.

Explanation

Given Info:

Initial temperature of the helium is 273K .

Finial temperature of the helium is 373K .

Work done by the gas during the process is 20J .

Ideal gas law is given by,

PfVfPiVi=nR(TfTi) (1)

• Pf is the finial temperature
• Pi is the initial temperature
• Vf is the finial volume
• Vi is the initial volume
• n is the amount of gas in moles
• R is the universal gas constant
• Tf is the finial temperature
• Ti is the initial temperature

At constant pressure,

P(VfVi)=nR(TfTi) (2)

From (1) and (2), the work done by the gas is,

W=P(VfVi)=nR(TfTi)

Substitute mMHe for n in the above equation

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