A gas is compressed by an average pressure of 0.50 atmosphere, so as to decrease its volume from 400\ cm^3 to 200\ cm^3 . What will be the work done in this case?

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Quantrex Academy · Accepted Answer

Correct answer: A. 10.13\ J

The work done on the gas during compression is given by:

W = -P_{\text{ext}} \Delta V

Given

P_{\text{ext}} = 0.50\ \text{atm}

V_1 = 400\ \text{cm}^3 = 0.4\ \text{L}

V_2 = 200\ \text{cm}^3 = 0.2\ \text{L}

Substituting the values:

W = -0.50 \times (0.2 - 0.4) = 0.10\ \text{L}\cdot\text{atm}

Using the conversion factor

1\ \text{L}\cdot\text{atm} = 101.3\ \text{J}

:

W = 0.10 \times 101.3\ \text{J} = 10.13\ \text{J}

Answer:

10.13\ \text{J}

A gas is compressed by an average pressure of 0.50 atmosphere, so...

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