Oxygen gas at 34.5 °C expands from 34.5 L to 45.7 L against a constant pressure of 750 mmHg.What is the work done in joules by the system? A)1.12 × 10^{3 J} B)-1.12 × 10^{3 J} C)9.09 × 10^{4 J} D)-9.09 × 10^{4 J} E)4.55 × 10^{3 J}

Question

Quizplus · Accepted Answer

The work done by the system can be calculated using the formula $W = -P\Delta V$, where $P$ is the pressure in atm, $\Delta V$ is the change in volume in liters, and $W$ is the work done in joules. First, convert the pressure from mmHg to atm (750 mmHg / 760 mmHg per atm = 0.9868 atm). The change in volume, $\Delta V$, is $45.7 L - 34.5 L = 11.2 L$. Using the conversion factor $101.325 J = 1 L\cdot atm$, the work done is $W = -0.9868 atm \times 11.2 L \times 101.325 J/(L\cdot atm) = -1116.5 J$, which is approximately $-1.12 \times 10^3 J$, making choice B correct.

Oxygen Gas at 34