#### Transcript of Zaman University

Ammonia (NH3) boils at -33 C ; at this temperature it has a density of 0.81g/cm3 . The enthalpy of formation of NH3(g) is -46.2kJ/mol, and the enthalpy of vaporization of NH3(l) is 23.2kJ/mol.

Calculate the enthalpy change when 1 L of liquid NH3 is burned in air to give N2(g) and H2O(g). How does this

compare with H for the complete combustion of 1 L of liquid

methanol, CH3OH(l)?

For CH3OH(l), the density at 25 C is 0.792g/cm3,and

Hf=-239kJ/mol.

Exercise 5.107

**Zaman University**

Chemistry Assignment

Instructor: Mustafa Dur

By: Chanpiset Um

Solution

The reaction for which we want to calculate the enthalpy change is:

4NH3(g)+3O2(g)->2N2(g)+6H2O(g)

Before we can calculate H for this reaction, we must calculate

H for NH3(l).

We know that enthalpy formation NH3(g) is -46.2kJ

And NH3(l) -> NH3(g)

Hvap.=23.3kJ

Thus,

Hvap= H(NH3(g))-

H(NH3(l)

23.2kJ=-46.2kJ- H(NH3(l))

=> H(NH3(l)=-69.4kJ

Furthermore we know that

H(H2O(g)=-241.82kJ

H(O2(g))=0

H(N2(g))=0

Since 1cm3 of NH3 weighs 0.81g, 1l=1000cm3 weighs 810g.

n(NH3)=m(NH3)/M(NH3) =(810/17)mol

Therefore combustion of 1L of NH3 which is 810/17 mol produces

(1173x(810/17))/4=13972kJ

Now we calculate enthalpy change of combustion of CH3OH(l)

The reaction is:

2CH3OH(l)+3O2(g)

->2CO2(g)+4H2O(g)

H=2 H(CO(g)) + 4 H(H2O(g)) - 2 H(CH3OH(g))-3 H(O2(g))

=2(-393.5)+4(-241.82)-2(-239)-3(0)

=-1276kJ

Then for the overall reaction, the enthalpy change is:

H=6 H(H2O(g)) + 2 H(N2(g)) - 4 H(NH3(l))-2 H(O2(g))

=5(-241.83)+2(0)-4(-69.4)-3(0)

=-1173kJ

The result shows that combustion of 4 mol of NH3(l) produces 1173kJ of heat.

Now we need to find heat produced by 1L of NH3(l).

The result shows that:

combustion of 2 mol of CH3OH produces 1276kJ..

Now we need to find heat produced by 1L of CH3OH.

Since 1cm3 of CH3OH weighs 0.792g, 1L=1000cm3 weighs 792g.

n(CH3OH)=m/M=792/32=24.75mol

Then heat produced by this amount of CH3OH is:

(1276x24.75)/2=1790.5kJ

This results shows that methanol is a slight better fuel than ammonium liquid.

Full transcript