A sample of an ideal gas expands reversibly and isothermally at 300 K from a volume of 2 L to 10 L. The number of moles of the gas is 1 mole.

Calculate the work done by the gas during the expansion.

Use the formula for reversible isothermal expansion:

w = -nRT lnleft(frac{V_2}{V_1}right)

Given:

=

8.314

1

1

R=8.314Jmol

1

K

1

=

300

T=300K

1

=

2

V

1

=2L

2

=

10

V

2

=10L

Find:

Work done

w in Joules.

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