Question

a fertilizer manufacturer makes a batch of 20kg of ammonium nitrate. what mass of ammonia in kg, does the manufacturer need to start with?

Answer 1

`m_(NH_3)=4.25kgNH_3`

Step-by-step explanation:

Hello,

In this case, for the production of ammonium nitrate we shall consider the following chemical reaction:

`NH_3+HNO_3\rightarrow NH_4NO_3`

Hence, since the molar mass of ammonium nitrate is 80 g/mol and the molar mass of ammonia is 17 g/mol, we could compute the required mass of ammonia to produce 20 kg of ammonium nitrate by using kilo-based units:

`m_(NH_3)=20kgNH_4NO_3*(1kmol)/(80kgNH_4NO_3)*(1kmolNH_3)/(1kmolNH_4NO_3)*(17kgNH_3)/(1kmolNH_3) \\\\m_(NH_3)=4.25kgNH_3`

Best regards.