JEE MAIN - Chemistry (2013 (Offline) - No. 25)
A gaseous hydrocarbon gives upon combustion 0.72 g of water and 3.08 g of CO2. The empirical formula of the hydrocarbon is
C2H4
C3H4
C6H5
C7H8
Explanation
Required reaction,
C$$x$$H$$y$$ + $$\left( {x + {y \over 4}} \right)$$O2 $$ \to $$$$x$$CO2 + $${{y \over 2}}$$H2O
0.72 gm of H2O = $${{{0.72} \over {18}}}$$ mole of H2O = 0.04 mole of H2O
In one H2O molecule 2 hydrogen atoms present.
So in 0.04 mole of H2O molecules 2$$ \times $$0.04 = 0.08 moles of H atoms present.
0.72 gm of CO2 = $${{{3.08} \over {44}}}$$ mole of CO2 = 0.07 mole of CO2
And in one CO2 molecule 1 C atom present.
So in 0.07 mole of CO2 molecules 0.07$$\times$$1 = 0.07 moles of C atoms present
$$\therefore$$ C : H = 0.07 : 0.08 = 7 : 8
$$\therefore$$ Empirical formula of hydrocarbon = C7H8
C$$x$$H$$y$$ + $$\left( {x + {y \over 4}} \right)$$O2 $$ \to $$$$x$$CO2 + $${{y \over 2}}$$H2O
0.72 gm of H2O = $${{{0.72} \over {18}}}$$ mole of H2O = 0.04 mole of H2O
In one H2O molecule 2 hydrogen atoms present.
So in 0.04 mole of H2O molecules 2$$ \times $$0.04 = 0.08 moles of H atoms present.
0.72 gm of CO2 = $${{{3.08} \over {44}}}$$ mole of CO2 = 0.07 mole of CO2
And in one CO2 molecule 1 C atom present.
So in 0.07 mole of CO2 molecules 0.07$$\times$$1 = 0.07 moles of C atoms present
$$\therefore$$ C : H = 0.07 : 0.08 = 7 : 8
$$\therefore$$ Empirical formula of hydrocarbon = C7H8
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