Question

How many grams of hydrogen are necessary to react completely with 50.0g of nitrogen in the reaction ${N_2} + 3{H_2} \to 2N{H_3}$?

Answer 1

The mole is a unit which is used widely for expressing the amount of the substance. The definition for a mole is as the amount of the amount which tends to contain $6.023 \times {10^{23}}$ of the elementary entities of the substance given. This value $6.023 \times {10^{23}}$ is known as Avogadro number.

Complete step-by-step answer:
The elementary entities which are expressed as moles could be atoms, molecules and other particles. So let us see if the equation is balanced or not. So on observing the equation we see that it is balanced. So now let us see the ratio of the substance in the form of moles. So on seeing the equation we get to know that 1 mole of the nitrogen tends to react with 1 mole of hydrogen.

We know 1 mole of nitrogen is equal to 28.01 $gmo{l^{ - 1}}$ and 1 mole of hydrogen is 2.016 $gmo{l^{ - 1}}$. So we can write this in the form of mass as that 28.01 $gmo{l^{ - 1}}$ of the nitrogen tends to react with 3 moles of hydrogen or the 6.048 $gmo{l^{ - 1}}$ of hydrogen. So,
28.01$gmo{l^{ - 1}}$ of nitrogen needs = 6.048$gmo{l^{ - 1}}$ of hydrogen so,
50.0g of nitrogen needs = $\dfrac{{6.048 \times 50.0}}{{28.01}} = 10.80g$ of hydrogen
So 50.0 g of nitrogen needs 10.80g of the hydrogen.

Note: Ammonia consists of hydrogen and nitrogen which is an inorganic compound having a pungent smell. It is used in the manufacturing of the fertilizers which helps in increasing the yielding of crops. It is also used as the antimicrobial agent. It is also used as the refrigerant and also as pH adjuster in the process of fermentation.