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QJEEM20Ch55f6: JEE Main 2020 Chemistry - Class 11 JEEM20Ch55f6 Solution: The ratio of the mass percentages of ‘C & H’ and ‘C & O’ of a…

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 ________.

Step-by-Step Verified Solution

Let the organic compound X is = CxHyOz

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

Given, WCWH=41{{{W_C}} \over {{W_H}}} = {4 \over 1}

∴\therefore xy=WC12WH1{x \over y} = {{{{{W_C}} \over {12}}} \over {{{{W_H}} \over 1}}} = 41×112{4 \over 1} \times {1 \over {12}} = 13{1 \over 3}

Also Given, WCWO=34{{{W_C}} \over {{W_O}}} = {3 \over 4}

∴\therefore xz=WC12WO16{x \over z} = {{{{{W_C}} \over {12}}} \over {{{{W_O}} \over {16}}}} = 34×1612{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 + 52{5 \over 2} O2 →\to 2CO2 + 3H2O

For 1 mole of C2H6O2 number of moles of O2 required = 52{5 \over 2}

∴\therefore For 2 mole of C2H6O2 number of moles
of O2 required = 52{5 \over 2} ×\times 2 = 5

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