STOICHIOMETRY REACTION

Question

How many moles of carbon disulfide are required to react completely with 12.7 L of chlorine gas according to the following reaction at 0°C and 1 atm?

carbon disulfide (s) + chlorine(g)carbon tetrachloride (l) + sulfur dichloride(s)

Answer 1

Carbon disulfide = CS₂

Chlorine gas = Cl₂

Carbon tetrachloride = CCl₄

Sulfur dichloride = SCl₂

CS₂(s) + 2Cl₂(g) ==> CCl₄(l) + 2SCl₂(s) ... balanced equation

To find moles CS₂ needed, we must first convert the 12.7 L Cl₂ to moles, and then use the mole ratio of 1:2 in the balanced equation to find moles CS₂.

Since the conditions are STP (0ºC and 1 atm), we can use the fact that 1 mole of gas = 22.4 L.

12.7 L Cl₂ x 1 mol/22.4 L = 0.567 moles Cl₂

moles CS₂ = 0.56696 mol Cl₂ x 1 mol CS₂/2 mol Cl₂ = 0.283 moles CS₂ (to 3 significant figures)