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Chemistry

200 cm3 of CO2 is collected at STP when a mixture of acetylene and oxygen is ignited. Calculate the volume of acetylene and oxygen at STP in the original mixture.

2C2H2 (g) + 5O2 (g) ⟶ 4CO2 (g)+ 2H2O (g)

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Answer

According to Gay lussac's law,

2C2H2+5O24CO2+2H2O2 vol.:5 vol.4 vol.\begin{matrix} 2\text{C}2\text{H}2 & + & 5\text{O}2 & \longrightarrow & 4\text{CO}2 & + & 2\text{H}_2\text{O} \\ 2 \text{ vol.} & : & 5 \text{ vol.} & \longrightarrow & 4\text{ vol.} \\ \end{matrix}

4 Vol of CO2 is collected with 2 Vol. of C2H2

So, 200 cm3 CO2 will be collected with

=24×200=100 cc=\dfrac{2}{4} \times 200 \\[0.5em] = 100 \text{ cc}

Similarly, 4 Vol of CO2 is produced by 5 Vol of O2

So, 200 cm3 CO2 will be produced by = 54\dfrac{5}{4} x 200 = 250 cm3

Hence, acetylene = 100 cm3 and oxygen = 250 cm3

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