Chemistry 9th Edition

Published by Cengage Learning
ISBN 10: 1133611095
ISBN 13: 978-1-13361-109-7

Chapter 5 - Gases - Exercises - Page 237: 69

Answer

$Fe$: $15,000\text{ kg}$ $H_2SO_4$: $26,816\text{ kg}$

Work Step by Step

Required $H_2$ to fill $4800m^{3}$ is $=\frac{4800}{0.80}=6000 m^{3}$ Temperature $T=(0+273)=273K$ Pressure $P=1atm$ Then $n=\frac{PV}{RT}=\frac{1 \times 6000\times 10^{3}}{0.082\times 273}\approx 268\times 10^{3} mol$ $Fe(s)+H_2SO_4(aq)=FeSO_4(aq)+H_2(g)$ Here $1mol Fe$ reacts with $1mol H_2SO_4$ to produce $1mol H_2$ So the required mass of $Fe$ is: $268\times 10^3\times 55.85\approx 15,000\text{ kg}$ and the mass of $H_2SO_4$: $260\times 10^{3} mol\times 98.08\approx 26,280\text{ kg}$ Since the acid is $98\%$ by mass, the total solution is: $\frac{26,280}{0.98}=26,816\text{ kg}$
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