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ChemistryChemistry: An Atoms First Approach2nd Edition
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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 E 3 H 8 , calculate the atomic mass of E.

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Chemistry: An Atoms First Approach

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

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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,

Atomic mass of the substance=Given mass of the substanceNumber of moles

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 100.0 g .

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

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

Formula

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

Number of moles=Given mass of the substanceMolar mass of the substance

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

Number of moles of hydrogen=8.73 g1 g/mol=8.73 mol

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,

Mole ratio=Moles of E in the formulaMoles of H in the formula

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

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