What volume of dihydrogen gas will be generated by the action of excess hydrochloric acid on a 21*g mass of zinc metal?

A temperature of 13 ""^@C, and a pressure of 704*mm*Hg are specified...

1 Answer
Mar 27, 2017

To answer this question we need (i) to know that:

"760 mm Hg" -= 1*atm

Explanation:

That is 1*atm of pressure will support a column of mercury that is 760*mm high. This is a convenient laboratory measurement that I hope has been shown to you in the lab. The difference between mercury columns can thus be related to differences between absolute pressures. A mercury column is thus useful for pressures BELOW 1*atm. IT IS NOT USED FOR PRESSURES ABOVE 1* atm. (Why not? Because you will get mercury all over the lab, and guess who is going to clean it up.)

And of course we need (ii) a stoichiometrically balanced equation:

Zn(s) + 2HCl(aq) rarr ZnCl_2(aq) + H_2(g)uarr

So for each equiv metal, 1 equiv of dihydrogen gas results.

"Moles of zinc" -= (21*g)/(65.38*g*mol^-1)=0.321*mol.

And thus, by the stoichiometry, 0.321*mol H_2(g) will result.

And so now, this is an Ideal Gas Equation, where we solve for volume:

V=(nRT)/P=(0.321*cancel(mol)xx0.0821*(L*cancel"atm")/(cancel(K^-1*mol^-1))xx286*cancelK)/((704cancel(*mm*Hg))/(760cancel(*mm*Hg*atm^-1))

You can do the math. I get an answer of approx. 8*L at this pressure. And this is consistent with the known molar volume of an Ideal Gas under standard conditions, i.e. approx. 25*L.

See here for more on the use of mercury to measure moderate pressure.