What is the volume occupied by 30.7 g Cl2(g) at 35°C and 745 torr?

1 Answer
anor277
Jun 10, 2017

We use the old Ideal Gas Law, and get V≅11⋅L

Explanation:

We must first express the pressure exerted by the gas. We know that 1⋅atm of pressure will support a column of mercury that is 760⋅mm high. And thus a mercury column, even if you face an awful problem if the column breaks and the mercury spills, is a good visual representation of pressure.

And thus 1⋅atm≡760⋅mm⋅Hg.......

And then we fill in the variables for V=nRTP, i.e.

V=30.7⋅g70.9⋅g⋅mol−1×0.0821⋅L⋅atmK⋅mol×308.2⋅K745⋅mm⋅Hg760⋅mm⋅Hg⋅atm−1=??⋅L

Is this expression dimensionally consistent? That is when I cancel out the units in the numerator and the denominator, I SHOULD get an answer in L...........All care taken but no responsibility admitted.

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