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Some Basic Concepts Of Chemistry

Question
CBSEENCH11005028

Calculate the volume at STP occupied by:
(i) 16 g of oxygen
(ii) 2·5 moles of CO2
(iii) 1 × 1021 molecules of oxygen.

Solution
(i) 16 g of oxygen.
Gram molecular mass of oxygen  = 32 g
Now 32 g oxygen at STP occupies volume = 22.4 litres
therefore 16 g oxygen at STP would occupy volume
                               equals fraction numerator 22.4 over denominator 32 end fraction cross times 16 space equals space 11.2 space litres.
(ii) 2.5 moles of CO2
1 mole of carbondioxide at STP occupies = 22.4 litres
therefore space 2.5 space mole space of space carbondioxide space at space STP space would space occupy space equals space 22.4 space cross times space 2.5 space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 56 space litres
(iii) 1 space cross times space 10 to the power of 21 space molecules space of space oxygen
6.023 space cross times space 10 to the power of 23 space molecules space of space oxygen space at space STP space occupies space space equals space 22.4 space litres.
therefore space space space 1 space cross times space 10 to the power of 21 space molecules space of space oxygen space at space STP space would space occupy space
equals space fraction numerator 22.4 over denominator 6.023 space cross times space 10 to the power of 23 end fraction cross times 1 cross times 10 to the power of 21
space space equals 3.72 space cross times space 10 to the power of negative 2 end exponent space litres.