   # If you mix 1.5 L of B 2 H 6 with 4.0 L of O 2 , each at 0 °C and a pressure of 1.0 atm, what amount of water is produced? (a) 0.18 mol (b) 0.067 ml (c) 0.25 mol (d) 0.060 mol ### 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 10.4, Problem 2RC
Textbook Problem
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## If you mix 1.5 L of B2H6 with 4.0 L of O2, each at 0 °C and a pressure of 1.0 atm, what amount of water is produced? (a) 0.18 mol (b) 0.067 ml (c) 0.25 mol (d) 0.060 mol

Interpretation Introduction

Interpretation:

The amount of water produced in the given reaction should be determined.

Concept introduction:

• The equation PV=nRT is known as ideal gas equation. The amount of substance "n" can be determined by sing this equation.

Amountofsubstancen=PVRT

P,V,TandR are the pressure, volume, temperature and gas constant respectively.

• 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).
• 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.
• Limiting reactant: limiting reactant is a reactant, which consumes completely in the chemical reaction. The quantity of the product depends on this limiting reagent, it can be determined with the help of balanced chemical equation for the reaction.

### Explanation of Solution

Balanced equation for the given reaction is,

B2H6(g)+3O2(g)B2O3(s)+3H2O(g)

Given values of pressure, temperature and volume of the gases O2andB2H6 are,

Pressure=1atmTemperature=273KVolume(B2H6)=1.5LVolume(O2)=4.0L

Amount of water produced in the given reaction can be determined as follows; in this reaction oxygen is the limiting reagent.

Therefore the amount of water is determined by using the stoichiometric ratio between oxygen and water.

AmountofO2=1atm×4L0

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