1. The molar mass of the element M is 40 g/mol
2. The name of the element is calcium (Ca)
Description of mole
The mole an element is related to it's mass and molar mass according to the following equation:
Mole = mass / molar mass
How to determine the mass of nitrogen
- Mass of M = 35.3 g
- Mass of compound = 43.5 g
- Mass of nitrogen =?
Mass of nitrogen = 43.5 – 35.3
Mass of nitrogen = 8.2 g
1. How to determine the molar mass of M
- Mass of nitrogen = 8.2 g
- Molar mass of nitrogen = 14 g/mol
- Formula of compound = M₃N₂
- Mole ratio of M to nitrogen = 3 : 2
- Mass of M = 35.3 g
Mole of M : Mole of nitrogen = 3 : 2
35.3 / y ÷ 8.2 / 14 = 3 : 2
(35.3 / y) × (14 / 8.2) = 3 / 2
494.2 / 8.2y = 3 / 2
Cross multiply
8.2y × 3 = 494.2 × 2
24.6y = 988.4
Divide both side by 24.6
y = 988.4 / 24.6
y ≈ 40 g/mol
Thus, the molar mass of the element is 40 g/mol
2. How to determine the name of the element
- Molar mass of element = 40 g/mol
From the periodic table, the element having a mass number of 40 is Argon and Calcium. Since argon will not react with nitrogen to produce Ar₃N₂.
Therefore, we can conclude that the element is calcium since it can react with nitrogen as illustrated by the equation
3Ca + N₂ —> Ca₃N₂
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