Now calculate volume of your gas assuming it follows the van tier Waals equation

Question

Now calculate volume of your gas assuming it follows the van tier Waals equation and using your gas's van der Waals constants from Table 5.4 on page 237 of the textbook. Determine the amount of work done by your gas, or on your gas, if it expands (or contracts) from volume I to volume 2 at the constant external pressure given. Enter y our values first: volume 1 73.70L volume 2 32.80L external pressure 731.6 mm Hs Calculate the work: Is this work positive or negative? Positive negative Did your gas gain or lose energy gained energy lost energy Is this work positive or negative? positive negative Did vour gas gain or lose energy? gained energy lost energy

Explanation / Answer

In this question, you mentioned expansion, where as final volume is decreased. I am solving the question as per the question.

Work w done by the gas in expansion from, V1 to V2, at a external pressure P is given by

w = -RT ln (V2/V1)

Volume, V1 = 73.70 L,

Volume, V2 = 32.80 L,

Pressure = 731.6 mm Hg

Subsituing the above values we get;

w = - R T ln (32.8 / 73.7)

= - R T ln (0.445)

= - R T (-0.81)

= 0.81 R T

So, work done is positive.

SInce work done is positive, work is done by the gas, so gas lost energy.

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