Solve the following problem:
A substance, on analysis, gave the following percent composition: Na = 43.4%, C = 11.3% and O = 45.3%. Calculate the empirical formula. (At. mass Na = 23 u, C = 12 u, O = 16 u).
Solution
Given: Atomic mass of Na = 23 u, C = 12 u, and O = 16 u
Percentage of Na, C and O = 43.4%, 11.3% and 45.3% respectively.
To find: The empirical formula of the compound
Calculation:
Moles of Na = `"% of Na"/"Atomic mass of Na"=43.4/ 23` = 1.89 mol
Moles of C = `"% of C"/"Atomic mass of C"=11.3/12` = 0.94 mol
Moles of O = `"% of O"/"Atomic mass of O"=45.3/16` = 2.83 mol
Hence, the ratio of number of moles of Na : C : O is
`1.89/0.94` = 2, `0.94/0.94` = 1 and `2.83/0.94` = 3
Hence, empirical formula is Na2CO3.
Empirical formula of the compound = Na2CO3