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20 cm\(^3\) of hydrogen gas are sparked with 20cm\(^3\) of oxygen gas in an endimoeter...

Chemistry
JAMB 1984

20 cm\(^3\) of hydrogen gas are sparked with 20cm\(^3\) of oxygen gas in an endimoeter at 373k (100\(^0\)C) and 1 atmosphere. The resulting mixture is cooled to 298 K (25 oC) and passed over calcium chloride. The volume of the residual gas is

  • A. 40 cm 3
  • B. 20 cm 3
  • C. 30 cm 3
  • D. 10cm 3
  • E. 5cm 3
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Correct Answer: Option D
Explanation

                                                                        2H\(_2\)   +   O\(_2\) → 2H\(_2\)O
From the balanced equation:                       2cm\(^3\) :    1cm\(^3\)    2cm\(^3\)
From the question,expected vol. reacted:  20cm\(^3\)    20cm\(^3\)     
Actual volume that reacted:                        20cm\(^3\)    10cm\(^3\)    20cm\(^3\) → Following the balanced equation i.e ratio 2 : 1 : 2

Volume of H\(_2\) remaining =  Expected volume - Actual volume = 20 - 20 = 0cm\(^3\) ⇒ H\(_2\) was used up, hence it's the limiting reactant.

Volume of O\(_2\) remaining =  Expected volume - Actual volume = 20 - 10 = 10cm\(^3\) ⇒ O\(_2\) was in excess, thus it was remaining 

Residual volume of the O\(_2\) is 10cm\(^3\)


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