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Heat of Formation

What is the a...

Question

What is the amount of heat to be supplied to prepare 128 g of $C a C_{2}$ by using $C a C O_{3}$ and followed by reaction with carbon. Reactions are:
$C a C O_{3} (s) \to C a O (s) + C O_{2} (g); △ H^{o} = 42 .8 k c a l$
$C a O (s) + 3 C (s) \to C a C_{2} + C O (g); △ H^{o} = 111 k c a l$

A

102.6 kcal

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B

221.78 kcal

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C

307.6 kcal

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D

453.46 kcal

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Solution

The correct option is C $307.6 kcal$
$C a C O_{3} (s) \to C a O (s) + C O_{2} (g) △ H^{0} = 42.8 k c a l$
$C a O (s) + 3 C (s) \to C a C_{2} (s) + C O (g) △ H^{0} = 111 k c a l$
___________________________________________________
$C a C O_{3} (s) + 3 C (s) \to C a C_{2} (s) + C O (g) + C O_{2} (g) △ H = 153.8 k c a l$

Thus heat required to prepare 1 mole of $C a C_{2}$ from $C a C O_{3}$
$= 153.8 k c a l$
Molecular weight of $C a C_{2} = 40 + 24 = 64$
64 g of $C a C_{2}$ requires 153.8 kcal of heat
128 g of $C a C_{2}$ requires 307.6 kcal of heat

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Similar questions

Q. What is the amount of heat to be supplied to prepare

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Heat of Formation

Standard XII Chemistry

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