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JEE Main 20199 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
9 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2019 · 9 January · Evening Shift · Chemistry · Some Basic Concepts of Chemistry

For the following reaction, the mass of water produced from 445g of...

For the following reaction, the mass of water produced from 445g445g of C57H110O6{C}_{57}{H}_{110}{O}_{6} is: 2C57H110O6(s)+163O2(g)→114CO2(g)+110H2O(l)2{C}_{57}{H}_{110}{O}_{6}\left(s\right) + 163{O}_{2}\left(g\right) \to 114{CO}_{2}\left(g\right) + 110{H}_{2}O\left(l\right)

Options

  1. A490g490g
  2. B890g890g
  3. C445g445g
  4. D495g495g

Correct answer

D. 495g495g

Step-by-step solution

C57H110O6+1632O2→57CO2+55H2O{C}_{57}{H}_{110}{O}_{6} + \dfrac{163}{2}{O}_{2} \to 57C{O}_{2} + 55{H}_{2}O

Molecular weight of C57H110O6=890{C}_{57}{H}_{110}{O}_{6} = 890

Moles of C57H110O6=weight(gm)Molecularweight{C}_{57}{H}_{110}{O}_{6} = \dfrac{weight\left(gm\right)}{Molecularweight}

=445890=12= \dfrac{445}{890} = \dfrac{1}{2}

According to stoichiometry

∵1mole∵ 1mole of C57H110O6{C}_{57}{H}_{110}{O}_{6} gives =55mole= 55mole of H2O{H}_{2}O

∵12mole∵ \dfrac{1}{2}mole of C57H110O6{C}_{57}{H}_{110}{O}_{6} gives =55×12mole= 55 \times \dfrac{1}{2}mole of H2O{H}_{2}O

Wt. of H2O={H}_{2}O = mole of H2O×M{H}_{2}O \times M Wt. of H2O{H}_{2}O

=12×55×18=495gm= \dfrac{1}{2} \times 55 \times 18 = 495gm
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