   # Aluminum carbide, Al 4 C 3 , reacts with water to produce methane, CH 4 . Al 4 C 3 (s) + 12 H 2 O( l ) → 4 A l (OH) 3 (s) + 3 CH 4 (g) 1. If 125 g of aluminum carbide is decomposed, what is the theoretical yield of methane? (a) 4.64 g (b) 13.9 g (c) 415 g (d) 154 g ### 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 4.3, Problem 1RC
Textbook Problem
307 views

## Aluminum carbide, Al4C3, reacts with water to produce methane, CH4.Al4C3(s) + 12 H2O(l) → 4 Al(OH)3(s) + 3 CH4(g)1. If 125 g of aluminum carbide is decomposed, what is the theoretical yield of methane? (a) 4.64 g (b) 13.9 g (c) 415 g (d) 154 g

Interpretation Introduction

Interpretation:

Theoretical yield of methane in the given reaction has to be determined.

Concept introduction:

• Numberofmole=GivenmassofthesubstanceMolarmass
• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
• Theoretical yield: It is the maximum mass of product that can be obtained from a chemical reaction
• For chemical reaction balanced chemical reaction equation written in accordance with the Law of conservation of mass.
• Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.
• Stoichiometric factor is a relationship between reactant and product which is obtained from the balanced chemical equation for a particular reaction.

### Explanation of Solution

Balanced chemical equation for the given reaction is,

Al4C3(s)+12H2O(l)4Al(OH)3(s)+3CH4(g)

The amount (moles) of Al4C3 available can be calculated by using the equation

Numberofmole=GivenmassofthesubstanceMolarmass

125gAl4C3×1molAl4C3143.95gAl4C3=0.86835molAl4C3

Using the stoichiometric factor calculating the amount of methane produced based on the amount of Al4C3 as follows,

0

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