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Answer 1 · 2017-03-29T14:10:47

The Combined Gas Law states that, for an ideal gas, $\frac{P V}{T}$ $(PV)/T$ stays constant, where $P$ $P$ is pressure, $V$ $V$ is volume, and $T$ $T$ is the temperature on an absolute scale.

Under the situation in the question, we substitute values and get $\frac{92.1 \cdot 200}{275} = \frac{3684}{55}$ $(92.1*200)/275=3684/55$ .

In the question, STP refers to a condition of $273.15$ $273.15$ K and 100 kPa.

Now, even if we change temperature and pressure to STP, this still will not change. Thus, $\frac{100 \cdot V}{273.15} = \frac{3684}{55}$ $(100*V)/273.15=3684/55$ . Thus, $V = \frac{3684}{55} \cdot \frac{273.15}{100} \approx 182.96$ $V=3684/55*273.15/100\approx182.96$ mL.

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