   Chapter 21, Problem 96GQ

Chapter
Section
Textbook Problem

To store 2.88 kg of gasoline with an energy equivalence of 1.43 × 108 J requires a volume of 4.1 L. In comparison, 1.0 kg of H2, has the same energy equivalence. What volume is required if this quantity of H2 is to be stored at 25 °C and 1.0 atm of pressure?

Interpretation Introduction

Interpretation:

To calculate the volume required for 1kg of H2 is to be stored at 25C and 1atm pressure.

Concept introduction:

The combustion reaction of gasoline is written as,

2C8H18+12.5O216CO2+18H2O

The hydrogen fuel cell reaction is written as

2H2+O22H2O

The volume of gas is directly proportional to the mass of the gas.

Volume=MassDensity

Explanation

The volume required for 1kg of H2 is to be stored at 25C and 1atm pressure is calculated below.

Given:

The energy equivalence of gasoline is 1.43×108J.

The volume of gasoline requires to store 2.88kg of gasoline is 4.1L.

The 1kg of hydrogen gas has the same energy equivalence.

The comparison of water produced by gasoline combustion and by hydrogen fuel cell is written as,

ProcessChemicalratiowatertofuelmassratiowatertofuelGasolineCombustion18H2O2C8H1818(2+16)2(96+18)=1

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