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I know all of the answers but please explain how they are found :) (1) The combu

ID: 905323 • Letter: I

Question

I know all of the answers but please explain how they are found :)

(1) The combustion of diborane (B2H6) generates a lot of energy. Balance the following equation for the reaction of diborane with oxygen

B2H6 (g) + O2 (g) B2O3 (s) + H2O (g)

What is the stoichiometric coefficient for oxygen?

I know the answer is 3

(2) How many moles of oxygen are formed when 58.6 g of KNO3 decomposes according to the following reaction? The molar mass of KNO3 is 101.11 g/mol.

4 KNO3 (s)        2 K2O (s) + 2 N2 (g) + 5 O2 (g)

I know the answer is .724 mol O2

(3) A 14.01 g sample of N2 reacts with 3.02 g of H2 to form ammonia (NH3). If ammonia is the only product, what mass of ammonia is formed?

I know the answer is 17.03 g

Explanation / Answer

1)

B2H6 (g) + O2 (g) B2O3 (s) + H2O (g)

You need to balance it

Balance B... its already balanced (2/2)

Balance H... (6/2)

B2H6 (g) + O2 (g) B2O3 (s) + 3H2O (g)

balance O.. (2, 6)

B2H6 (g) + 3O2 (g) B2O3 (s) + 3H2O (g)

Therefore, the stoichiometric factor must be 3

2)

4 KNO3 (s)        2 K2O (s) + 2 N2 (g) + 5 O2 (g)

moles of O2 when m = 58.6 g of KNO3 decompose MW = 101.11

calculate moles of KNO3

mol = mass/MW = 58.6 / 101.11 = 0.5796 mol

equation is already balanced. relate KNO3 and O2

4 moles of KNO3 --> 5 mol of O2

ratio must be then 5/4 mol = 5/4*0.5796 mol of O2 will be produced = 0.7245 mol of O2

3)

m = 14.01 g of N2

MW = 28

mol = 14/28 = 0.5 mol of N2

m = 3.02 H2

MW = 2

mol = 3/2= 1.5 mol

The reaction

N2 + H2 --> NH3

Balanced equation

N2+ 3H2 --> 2NH3

Ratio is

1 mol of N2 --> 2 mol of NH3

since we have 0.5 mol of N2... then we have 2*0.5 = 1 mol of NH3

MW of NH3 = 17 g/mol

mass = mol*MW = 1*17 = 17 g of NH3