From 176 grams of cyclohexane, 146 grams of benzene was obtained. How many percent does this represent

From 176 grams of cyclohexane, 146 grams of benzene was obtained. How many percent does this represent from the theoretically possible output.

C6H12 – cyclohexane.

C6H6 – benzene.

Benzene is obtained from cyclohexane by dehydrogenation. The reaction will look like this:

C6H12 – 3H2 = C6H6.

M (C6H6) = 78.11 g / mol.

M (C6H12) = 84.16 g / mol.

m practical (C6H6) = 146 g.

m (C6H12) = 176 g.

n (C6H12) = 176 / 84.16 = 2.09 mol.

According to the reaction equation, taking into account stoichiometric coefficients:

n (C6H12) = n (C6H6).

Then n (C6H6) = 2.09 mol.

m theory (C6H6) = 2.09 * 78.11 = 163.2499 g.

ζ = m practical / m theory = 100% * 146 / 163.2499 = 87.5%.