Calcium carbide is used for the artificial ripening of fruits. Actually, the fruit ripens because of the heat evolved while calcium carbide reacts with moisture. During the reaction, calcium hydroxide and acetylene gas is formed.

If 200 $c m^{3}$ of acetylene is formed from a certain mass of calcium carbide. Find the volume of oxygen required and carbon dioxide formed during the complete combustion. The combustion reaction can be represented as below:

$2 C_{2} H_{2} (g) + 5 O_{2} (g) \to 4 C O_{2} (g) + 2 H_{2} O (g)$

500 cm³ of oxygen is required and 350 cm³ of CO₂ is formed.

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500 cm³ of oxygen is required and 400 cm³ of CO₂ is formed.

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450 cm³ of oxygen is required and 350 cm³ of CO₂ is formed.

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450 cm³ of oxygen is required and 400 cm³ of CO₂ is formed.

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Solution

The correct option is B
500 cm³ of oxygen is required and 400 cm³ of CO₂ is formed.

$2 C_{2} H_{2} (g) 2 v o l . + 5 O_{2} (g) 5 v o l \to 4 C O_{2} (g) 4 v o l . + 2 H_{2} O (g)$

From the equation, we have 2 vol. of acetylene requires 5 vol. of oxygen.

$∴$ 1 vol. of acetylene will require $\frac{5}{2}$ vol. of oxygen.

$∴$ 200 $c m^{3}$ of acetylene will require $\frac{5}{2} \times 200 = 500 c m^{3}$ of oxygen.

Again, 2 vol. of acetylene is required to form 4 vol. of $C O_{2}$

$∴$ 1 vol. of acetylene will be required to form 4/2 vol. of $C O_{2}$

200 $c m^{3}$ of acetylene will be required to form $\frac{4}{2} \times 200 = 400 c m^{3}$ of $C O_{2}$ .

Hence, 500 $c m^{3}$ of oxygen is required and 400 $c m^{3}$ of $C O_{2}$ is formed.

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Similar questions

(a) Calcium carbide is used for the artificial ripening of fruits. Actually the fruit ripens because of the heat evolved while calcium carbide reacts with moisture. During this reaction calcium hydroxide and acetylene gas is formed. If 200 cm³ of acetylene is formed from a certain mass of calcium carbide, find the volume of oxygen required and carbon dioxide formed during the complete combustion. The combustion reaction can be represented as below:
2C₂H₂_(g)+ 5O₂_(g) → 4CO₂_(g) + 2H₂O_(g)

(b) A gaseous compound of nitrogen and hydrogen contains 12.5% hydrogen by mass. Find the molecular formula of the compound if its relative molecular mass is 37.
[N = 14, H = 1].

200 c c

of acetylene is formed form a certain mass of calcium carbide. Find the volume of oxygen required and carbon dioxide formed during its complete combustion. The combustion reaction can be represented as:

2 C_{2} H_{2} (g) + 5 O_{2} (g) \to 4 C O_{2} (g) + 2 H_{2} O (g)

(a) A gas cylinder of capacity of $20 d m^{3}$ is filled with gas X the mass of which is 10 g. When the same cylinder is filled with hydrogen gas at the same temperature and pressure the mass fo the hydrogen is 2 g, hence the relative molecular mass of the gas is :
(i) 5 (ii) 10 (iii) 15 (iv) 20
(b) (i) Calcium carbide is used for the artificial ripening of fruits. Actually the fruit ripens beause fo the heat evolved while calcium carbide reacts with and acetylene gas is formed. If $200 c m^{3}$ of acetylene is formed from a certain mass of calcium carbidem, find the volume of oxygen required and carbon dioxide formed during the complete combustion. The combustion reaction can be represented as below.
$2 C_{2} H_{2} (g) + 5 O_{2} (g) \to 4 C O_{2} (g) + 2 H_{2} O (g)$
(ii) A gaseous compound of nitrogen and hydrogen contains 12.5% hydrogenj by mass. Find the molecular formula of the ocmpound if its relative molecular mass is 37. $[N = 14, H = 1] .$
(c) (i) A gas cylinder contains $24 \times 10^{24}$ moleules of nitrogen gas. If avogadro's number is $6 \times 10^{23}$ and the relative atomic mass of nitrogen is 14, calculate:
(1) Mass of nitrogen gas in th ecylinder
(2) Volume of nitrogen at STP in $d m^{3}$
(ii) Commercial sodium hydroxide wieghing 30 g has some sodium chloride in it. The mixture on dissolving in water and subsequent treatment with excesss silver nitrate solution formed a precipitate weighing 14.3 g. What is the percentage fo sodium chloride in the commercial sample of sodium hydroxide? The equation for the reaction is
$N a C l + A g N O_{3} \to A g C l + N a N O_{3}$
[Relative molecular mass of $N a C l = 58; A g C l = 143$ ]
(iii) A certain Gas 'X' occupies a volume of $100 c m^{3}$
at S.T.P. and weighs 0.5 g. Find its relative moleular mass.

What volume of oxygen at STP is required to effect complete combustion of 200cm³ of acetylene and what would be the volume of carbon dioxide formed?

Q. Write balanced equations for the following reactions.
(a) Combustion of

C_{2} H_{10}

in a limited supply of oxygen to form carbon monoxide and water.
(b)The reaction of calcium carbide with water to form acetylene.
(c)The precipitation of calcium cyanamide from calcium carbide and nitrogen.
(d)Formation of hydrogen cyanide from methane and ammonia.

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