Answer:
141.1g
Explanation:
The formula of ammonia is written as NH₃
Given parameters:
Number of particles = 5.0 x 10²⁴atoms
To calculate the mass of the substances that makes up this number of ammonia particles, we follow use the mole concept to derive it.
1. We know that a mole is the amount of a substance that contains the Avogadro's number of particles i.e 6.02 x 10²³
From this, we can then derive the number of moles using the expression below:
Number of moles =
number of particles/6.02 x 10²³
2. With the number of moles, we can deterime the mass using the expression below:
Number of moles= mass/molar mass
Mass(g) = number of moles x molar mass
Solution
From step 1:
Number of moles = 5.0 x 10²⁴ / 6.02 x 10²³
No of moles of NH₃ = 0.83 x 10 = 8.3mol
Step 2:
Molar mass of NH₃:
Atomic mass of N = 14gmol⁻¹
H = 1gmol⁻¹
Molar mass = 14 + (1x3) = 17gmol⁻¹
Using the expression:
Mass(g) = number of moles x molar mass
Mass of NH₃ = 8.3 x 17 = 141.1g