   # A large family of boron-hydrogen compounds has the general formula B x H y . One member of this family contains 88.5% B; the remainder is hydrogen. What is its empirical formula? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2, Problem 88PS
Textbook Problem
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## A large family of boron-hydrogen compounds has the general formula BxHy. One member of this family contains 88.5% B; the remainder is hydrogen. What is its empirical formula?

Interpretation Introduction

Interpretation:

The empirical formula of the given BxHy compound is to be determined if the molar mas is 26.02g/mol.

Concept introduction:

• Empirical formula of a compound represents the smallest whole number relative ratio of elements in that compound.
• Equation for finding Molecular formula from the empirical formula,

MolarmassEmpiricalformula mass × Empirical formula

• Equation for number moles from mass and molar mass,

Numberofmoles=MassingramsMolarmass

• Mass percent of elements of a compound is the ratio of mass of element to the mass of whole compound and multiplied with hundred.

### Explanation of Solution

Mass percent of boron and hydrogen in given BxHy compound is given as 88.5% and 10088.5=11.5%.

Mass percent of an element means, 100g of compound contains that mass percent of an element in grams. Therefore, mass of boron and hydrogen are 88.5g and 11.5g respectively in 100g of given BxHy compound.

Equation for number moles from mass and molar mass is,

Numberofmoles=MassingramsMolarmass

Therefore,

The number of moles of boron is,

Numberofmoles=88

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