JEE MAIN - Chemistry (2020 - 2nd September Evening Slot - No. 6)

The ratio of the mass percentages of ‘C & H’ and ‘C & O’ of a saturated acyclic organic compound ‘X’ are 4 : 1 and 3 : 4 respectively. Then, the moles of oxygen gas required for complete combustion of two moles of organic compound ‘X’ is ________.
Answer
5

Explanation

Let the organic compound X is = CxHyOz

Here moles of C = x, moles of H = y, moles of O = z

Given, $${{{W_C}} \over {{W_H}}} = {4 \over 1}$$

$$ \therefore $$ $${x \over y} = {{{{{W_C}} \over {12}}} \over {{{{W_H}} \over 1}}}$$ = $${4 \over 1} \times {1 \over {12}}$$ = $${1 \over 3}$$

Also Given, $${{{W_C}} \over {{W_O}}} = {3 \over 4}$$

$$ \therefore $$ $${x \over z} = {{{{{W_C}} \over {12}}} \over {{{{W_O}} \over {16}}}}$$ = $${3 \over 4} \times {{16} \over {12}}$$ = 1

$$ \Rightarrow $$ x = z

$$ \therefore $$ Empirical formula = CxH3xOx = CH3O

As compound is saturated acyclic organic
compound, so molecular formula = C2H6O2

C2H6O2 + $${5 \over 2}$$O2 $$ \to $$ 2CO2 + 3H2O

For 1 mole of C2H6O2 number of moles of O2 required = $${5 \over 2}$$

$$ \therefore $$ For 2 mole of C2H6O2 number of moles
of O2 required = $${5 \over 2}$$ $$ \times $$ 2 = 5

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