Respuesta :
Hydrogen of mass of 2.625kg is required to produce 3.3kg of ammonia.
The mass of a physical body is a measure of its entire makeup. Inertia, or the body's opposition to acceleration when a cumulative force is applied, is also measured by this term. The strength of a body's gravitational pull on other bodies is also influenced by its mass. In an ionic crystal, formula mass is the total atomic mass of all the atoms that make up the formula unit. The amount of a material that is equivalent to its molecular mass in grams is referred to as its molar mass. Usually, It is measured in grams (g) or kilograms (kg).
Given:
Mass, m of [tex]NH_3[/tex] = 3.3kg
Molar mass, mm of [tex]NH_3[/tex] = 17g/mol
To find:
Mass of [tex]H_2[/tex] = ?
Reaction:
[tex]N_2 (g) + 3H_2 (g) \rightarrow 2NH_3 (g)[/tex]
Formula:
[tex]nNH_3[/tex] = mass/molar mass
moles of N, [tex]nN = \frac{nNH_3}{\% yield}[/tex]
moles of H = [tex]\frac{3}{2} nN[/tex]
mass of H = moles of H x molar mass of H
Calculations:
n = 3300 / 17
n = 194.12 mol
moles of N, nN = 194.12 / 0.224
nN = 866.61 mol
1 mol required [tex]\frac{3}{2}[/tex] mol [tex]NH_3[/tex]
moles of H, nH = [tex]\frac{3}{2} * 866.61[/tex]
nH = 1299.92 mol
mass of hydrogen, m = 1299.92 x 2.02
m = 2625.84g
m = 2.625kg
Result:
The mass of hydrogen required is 2.625kg.
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