Question

Question #fcb1b

Answer 1

`"1 L"`

Explanation:

The idea here is that when kept under constant pressure and temperature, the volume of gas is directly proportional to how many moles of gas it contains `->` this is known as Avogadro's Law.

This means that for a chemical reaction that involves gases kept under the same conditions for pressure and temperature, the mole ratios given by the stoichiometric coefficients become equivalent to volume ratios.

`color(blue)(|bar(ul(color(white)(a/a)n_1/n_2 = V_1/V_2color(white)(a/a)|))) ->` the mole ratio is equivalent to a volume ratio

So, the balanced chemical equation that describes the formation of hydrogen chloride from hydrogen gas and chlorine gas looks like this

`"H"_ (2(g)) + "Cl"_ (2(g)) -> color(red)(2)"HCl"_ ((g))`

Notice that `1` mole of hydrogen gas needs `1` mole of chlorine gas to produce `color(red)(2)` moles of hydrogen chloride.

Since all the gases are kept under the same conditions for pressure and temperature, this is equivalent to saying that `"1 L"` of hydrogen gas needs `"1 L"` of chlorine gas to produce `color(red)(2)color(white)(a)"L"` of hydrogen chloride.

Since you must produce `"2 L"` of hydrogen chloride, it follows that you must consume `"1 L"` of chlorine gas, provided of course that you also have `"1 L"` of hydrogen gas available for the reaction.

`"volume of Cl"_(2(g)) = color(green)(|bar(ul(color(white)(a/a)color(black)("1 L")color(white)(a/a)|)))`