Empirical formula of a substance is CH₂Cl. What is the molecular formula if the molar mass of the substance is 247.3979 g/mol?

Question

asked Oct 26, 2024 143k views

1 Answer

Maxime B · Answer 1 · 2024-11-02T10:38:35+0000

Answer:

$\huge{ \boxed{C_5H{_1}_0Cl_5}}$

Step-by-step explanation:

From the question the empirical formula of the substance is
. This means that the actual molecular formula was reduced by a certain factor for the empirical formula to be obtained.
First the empirical formula is multiplied by a variable let's say x and equating it to the actual molar mass of the compound.
After obtaining the variable, it's then multiplied by the empirical formula to obtain the actual molecular formula.

The molar mass of the compound from the question is 247.3979 g/mol.

$(CH_2Cl)x = 247.3979\\ [12 + (2 * 1) + 35.5)]x = 247.3979 \\ = (12+2+35.5)x = 247.3979 \\$

$49.5x = 247.3979 \\ (49.5x)/(49.5) = (247.3979)/(49.5) \\ x= 4.99 \approx \: 5$

So the actual molecular formula is:

$5 *(CH_2Cl) = C_5H{_1}_0Cl_5$