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Liquid benzene burns in oxygen according to: \( 2 C_{6} H_{6}+15 O_{2} \rightarrow 12 C O_{2}+6 H_{2} O \) If density of liquid benzene is \( 0.88 \mathrm{g} / \mathrm{cc} \) what volume of \( \boldsymbol{O}_{2} \) at \( \mathrm{STP} \) is needed to complete the combustion of 39 cc of liquid benzene?

  1. 11.2 litre
  2. 74 litre
  3. \( 0.074 \mathrm{m}^{3} \)
  4. 37 \( d m^{3} \)

Correct answer: 11.2 litre

Solution

The density lets you turn 39 cc of benzene into grams, then into moles. Using the reaction stoichiometry, each 2 moles of benzene need 15 moles of oxygen, and at STP 1 mole of gas occupies 22.4 L.

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