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How many grams of CS2 can be prepared by heating 11.4 miles of S2 with excess ca

ID: 1007392 • Letter: H

Question


How many grams of CS2 can be prepared by heating 11.4 miles of S2 with excess carbon in a 6.40L reaction vessel held at 900K until equilibrium is reached? Carbon disulfide is prepared by heating sulfur and charcoal. The chemical equation is K:-9.40 at 900 K How many grams of CS(g) can be prepared by heating 11.4 moles of Sa(g) with excess carbon in a 6.40 L reaction vessel held at 900 K until equilibrium is attained? Number Exit". Check Answer 0 Next O Previous Give Up & View Solution contact us help terms

Explanation / Answer

For reaction:

S2 + C <------------> CS2

Initally S2 = 11.4 mol

Volume = 6.40 L

Molarity of CS2 = Number of moles/volume = 11.4/6.40 = 1.78 M

As C is in excess, so same number of moles of C will react.

Similarly, molarity of C = 1.78 M

ICE table for the reaction:

[C] [S2] [CS2]

Initial 1.78 M 1.78 M 0

Change -x -x +x

Equilibrium 1.78-x 1.78-x x

Equilibrium constant = Kc = [CS2]/([C][S2])

9.40 = x/(1.78-x)(1.78-x)

9.40 = x/(1.78-x)2

(1.78-x)2 = x/9.40

3.17+x2-3.56x = 0.106x

x2-3.67x+3.17 = 0

After solving quadratic equation, x = 1.4

So, concentration of [CS2] = x = 1.4 M

Moles of CS2 = molarity*volume = 1.4*6.4 = 8.96 moles

Moles of CS2 at equilibrium = 8.96 moles

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