   # Diborane reacts with O 2 to give boric oxide and water vapor. B 2 H 6 (g) + 3 O 2 (g) → B 2 O 3 (s) + 3 H 2 O(g) 1. What mass of O 2 gas is required to react completely with 1.5 L of B 2 H 6 at 25 °C and 0.15 atm? (a) 0.29 g (b) 0.59 g (c) 0.44 g (d) 0.88 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 10.4, Problem 1RC
Textbook Problem
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## Diborane reacts with O2 to give boric oxide and water vapor.B2H6(g) + 3 O2(g) → B2O3(s) + 3 H2O(g)1. What mass of O2 gas is required to react completely with 1.5 L of B2H6 at 25 °C and 0.15 atm? (a) 0.29 g (b) 0.59 g (c) 0.44 g (d) 0.88 g

Interpretation Introduction

Interpretation:

It should be determined that the mass of O2 gas required to react completely with 1.5LofB2H6 at 250C and 0.15atm

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).
• Massofthesubstance=Amountofthesubstance×molarmass
• 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

Given,

Pressure=0.15atmVolume=1.5Ltemperature=298K

Amount of  diboraneB2H6 available can be calculated as follows,

n=0.15atm×1.5L0.082057L.atm/K.molK×298K =0.0092013mol

Balanced equation for the given reaction is,

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

Using stoichiometric factor the mass of oxygen required complete this reaction can be determined as follows,

MassofO2=0

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