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Chapter 3: Q 39E (page 169)

Question- A compound of carbon and hydrogen contains 92.3% C and has a molar mass is 78.1g/mol. What is the molecular formula?

Short Answer

Expert verified

The molecular formula for the compound having carbon 92.3% and has a molar mass of 78.1g/mol is C6H6

Step by step solution

01

Step 1- Given data

Assuming compound to be 100g then given mass of carbon = 92.3g

Mass of hydrogen = 7.7g

The molar mass of the compound = 78.1g/mol.

02

Step 2- Calculating moles

Moles = mass/molar mass

Moles of carbon = 92.3/12 =7.6mol

Moles of hydrogen = 7.7/1 = 7.7mol

Dividing by the smallest number we get

Moles of carbon = 7.6/7.6 = 1mol

Moles of hydrogen = 7.7/7.6 = 1mol

Now the empirical formula = CH

03

Step 3- Determining molecular formula

The empirical formula mass= 12 + 1 = 13g

The molar mass of compound(given) = 78.1g

Dividing molecular formula mass by empirical formula mass we get n= 78.1/13g

N = 6

Multiplying the empirical formula by n we get the molecular formula

= C6H6

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