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2NH3(g) +3O2(g) +2CH4(g) 2HCN(g) + 6H2O(g)2NH3(g) +3O2(g) +2CH4(g) 2HCN(g) + 6H2

ID: 493554 • Letter: 2

Question

2NH3(g) +3O2(g) +2CH4(g) 2HCN(g) + 6H2O(g)2NH3(g) +3O2(g) +2CH4(g) 2HCN(g) + 6H2O(g)

If 3.84 moles of methane are consumed in this reaction, how many moles of HCN will be produced?

If 25.1 g of ammonia are reacted, how many grams of HCN will be produced?

If I react 48.3 g of ammonia with 32.4 g of methane (assume oxygen is present in excess), what is the maximum mass of HCN that can be produced?

If I react 17.9 g of ammonia with excess oxygen and methane, but only collect 23.3 g of HCN, what is the percent yield?

Explanation / Answer

1)    2NH3(g) + 3O2(g) + 2CH4(g) 2HCN(g) + 6H2O(g)

From the balanced equation,

2 moles of methane reacts with 3 moles of O2  

3.84 moles of methane reacts with M moles of O2  

M = (3x3.84) / 2

   = 5.76 mol

2 moles of methane produces 6 moles of water

3.84 moles of metahne produces N moles of water

N = (6x3.84) /2

= 11.52 mol

(2) 2NH3(g) + 3O2(g) + 2CH4(g) 2HCN(g) + 6H2O(g)

2x17 g of ammonia produces 2x27 g of HCN

25.1 g of ammonia produces Y g of HCN

Y = (25.1x2x27) / (2x17)

   = 39.9 g

(3) 2NH3(g) + 3O2(g) + 2CH4(g) 2HCN(g) + 6H2O(g)

2x17 g of NH3 reacts with 3x32 g of O2 & 2x16 g of CH4     

34 g of NH3 reacts with 96 g of O2 & 32 g of CH4     

M g of NH3 reacts with 56.8 g of O2 & N g of CH4     

M = (56.8x34)/96 = 20.12 g of NH3

N = ( 56.8x32) / 96 = 18.9 g of CH4

So all the mass of O2 completly reacted O2 is the limiting reactant.

From the balanced equation ,2NH3(g) + 3O2(g) + 2CH4(g) 2HCN(g) + 6H2O(g)

3x32=96 g of O2 produces 2x27=54 g of HCN and 6x18=108 g of water

56.8 g of O2 produces Y g of HCN and Z g of water

Y = (56.8x54)/96 = 31.95 g of HCN

Z = ( 56.8x108) / 96

= 63.9 g

(4) Actual mass of HCN = 23.3 g

Theoretical mass of HCN = 31.95 g

So percent yield=(actual mass / thoretical mass ) x100

                         = ( 23.3 / 31.95 ) x100

                         = 72.92%

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