   # A binary compound between an unknown element E and hydrogen contains 91.27% E and 8.73% H by mass. If the formula of the compound is E 3 H 8 , calculate the atomic mass of E. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 5, Problem 140AE
Textbook Problem
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## A binary compound between an unknown element E and hydrogen contains 91.27% E and 8.73% H by mass. If the formula of the compound is E3H8, calculate the atomic mass of E.

Interpretation Introduction

Interpretation: A binary compound containing an unknown element E and hydrogen in the given mass percent values is given. The atomic mass of the unknown element E is to be calculated.

Concept introduction: The atomic mass of a substance is calculated by the formula,

Atomicmassofthesubstance=GivenmassofthesubstanceNumberofmoles

To determine: The atomic mass of the unknown element E .

### Explanation of Solution

Given

The formula of the given binary compound is E3H8 .

The mass percent of the unknown element E in the given compound is 91.27% .

The mass percent of the hydrogen in the given compound is 8.73% .

The mass of the compound is assumed to be 100.0g .

The mass of the unknown element E in the given compound =91.27%of100.0g=(91.27100×100.0)g=91.24g .

The mass of hydrogen in the given compound =8.73%of100.0g=(8.73100×100.0)g=8.73g .

Formula

The number of moles of a substance is calculated by the formula,

Numberofmoles=GivenmassofthesubstanceMolarmassofthesubstance

Substitute the value of the given mass and the molar mass of hydrogen in the above expression.

Numberofmolesofhydrogen=8.73g1g/mol=8.73mol

The number of moles of the unknown element E is assumed to be “ x ” moles.

The formula of the given binary compound is E3H8 .

The mole ratio for the compound is calculated by the formula,

Moleratio=MolesofEintheformulaMolesofHintheformula

Substitute the values of the moles of E and hydrogen in the above expression

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