What is the molecular formula of the rocket fuel in the following case:Rocket fuel is know to contain carbon, hydrogen, and nitrogen, and have a...

The rocket fuel is made up of carbon, hydrogen and
nitrogen. The molar mass of the fuel is 60.1 g/mole.

Let
the molecular formula of the fuel be C(a)N(b)H(c) and let us assume that the nitrogen is
not oxidized when the fuel burns.

When 2.859 g of the fuel
is burnt we have 4.19 g of carbon dioxide and 3.428 g of water
produced.

2.859 g of the fuel is approximately 0.04757 mole
of the fuel

4.19 g of carbon dioxide has (4.19/44.01) =
0.0952 mole of C

3.428 g of water has 2*3.428/18.02 g =
0.3804 mole of hydrogen

We have 0.0952 mole of carbon in
0.04757 mole of the fuel. 0.0952/ .04757 = 2 approximately. This gives 2 atoms of carbon
in one molecule of the fuel.

We have 0.3804 mole of
hydrogen in 0.04757 mole of the fuel. .3804/.04757 = 8 approximately. This gives 8 atoms
of hydrogen in one molecule of the fuel.

The rest of the
fuel is nitrogen, or one molecule of the fuel has (60.1 - 8*1.008 - 12*2)/14.01 = 2
atoms of nitrogen

So the molecular formula of
the fuel is C(2)N(2)H(8).