Chapter 21, Problem 96GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
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 1â€‰kg of H2 is to be stored at 25â€‰âˆ˜C and 1â€‰atm pressure is calculated below.

Given:

The energy equivalence of gasoline is 1.43Ã—108â€‰J.

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

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

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

ProcessChemicalâ€‰ratioâ€‰waterâ€‰toâ€‰fuelmassâ€‰ratioâ€‰waterâ€‰toâ€‰fuelGasolineâ€‰Combustion18H2O2C8H1818(2+16)2(96+18)=1

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