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일반화학/[03장] 화학량론

31150 L H2 22℃ Fe mass kg

by 영원파란 2023. 5. 31.

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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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