31150 L H2 22℃ Fe mass kg
Both Jacques Charles and Joseph Louis Guy-Lussac
were avid balloonists.
In his original flight in 1783, Jacques Charles used a balloon
that contained approximately 31150 L of H2.
He generated the H2 using the reaction
between iron and hydrochloric acid:
Fe(s) + 2HCl(aq) → FeCl2(aq) + H2(g)
How many kilograms of iron were needed
to produce this volume of H2 if the temperature was 22℃?
(For simplicity, assume that the pressure
experienced by the balloon will be 1.00 atm.)
---------------------------------------------------
PV = nRT 로부터,
( 참고 https://ywpop.tistory.com/3097 )
H2의 몰수를 계산하면,
n = PV / RT
= [(1.00) (31150)] / [(0.08206) (273.15 + 22)]
= 1286.1 mol H2
Fe(s) + 2HCl(aq) → FeCl2(aq) + H2(g)
Fe : H2 = 1 : 1 계수비(= 몰수비) 이므로,
1286.1 mol H2 생성에 필요한
Fe의 몰수 = 1286.1 mol
Fe의 몰질량 = 55.845 g/mol 이므로,
1286.1 mol Fe의 질량을 계산하면,
1286.1 mol × (55.845 g/mol) = 71822 g Fe
( 참고 https://ywpop.tistory.com/7738 )
답: 71.8 kg
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