   Chapter 10.8, Problem 3.1ACP

Chapter
Section
Textbook Problem

Nitrogen gas is produced not only by NaN3 decomposition, but also in the reaction that captures the sodium by-product. You need to fill a 75 L airbag at 25 °C to a pressure of 3.0 atm. a. What mass of NaN3 is required? b. What mass of KNO3 needs to be in the bag to capture the sodium byproduct?

(a)

Interpretation Introduction

Interpretation:

The mass of NaN3 required to produce nitrogen to fill an 75L air bag has to be given using the given data.

Concept Introduction:

Different laws have been put forward to introduce properties of gases:

Boyle’s law:

At fixed temperature, the volume of a fixed amount of gas is inversely proportional to the pressure exerted by the gas.

P1V(n,Twillbeconstant)

Charles’s law:

States that volume is directly proportional to temperature when the gas is held

VT at constant pressure and number of molecules.

General Gas Law:

Combining Charles’s law and Boyle’s law we get the General gas law or combined gas law.

P1V1T1=P2V2T2

• To relate the amount of gas and the volume.
• VnatconstantTandP

Combining all these together ideal gas law is introduced:

PV=nRT

Explanation

The mass of NaN3 required to produce nitrogen gas at given conditions.

Ideal gas law: PV=nRT

R=0.0827L.atmK.molTshouldbeexpressedinKPshouldbeexpressedinatm

Given data:

P=3atmT=25°C=25+273=298KV=75L

From ideal gas equation:

n=PVRT=3atm×75L0.0827L.atm/K.mol×298K=9

(b)

Interpretation Introduction

Interpretation:

The mass of KNO3 required to produce nitrogen to fill a 75L air bag has to be given using the given data.

Concept Introduction:

Different laws have been put forward to introduce properties of gases:

Boyle’s law:

At fixed temperature, the volume of a fixed amount of gas is inversely proportional to the pressure exerted by the gas.

P1V(n,Twillbeconstant)

Charles’s law:

States that volume is directly proportional to temperature when the gas is held

at constant pressure and number of molecules.

VT

General Gas Law:

Combining Charles’s law and Boyle’s law we get the General gas law or combined gas law.

P1V1T1=P2V2T2

• To relate the amount of gas and the volume.
• VnatconstantTandP

Combining all these together ideal gas law is introduced:

PV=nRT

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