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How many molecules are there in 14 g of nitrogen at s.t.p.? [N = 14,...

Chemistry
WAEC 2009

How many molecules are there in 14 g of nitrogen at s.t.p.? [N = 14, Avogadro's constant = 6.02 x 10\(^{23}\) mol-1]

  • A. 6.02 x 1023
  • B. 3.01 x 1023
  • C. 8.43 x 1024
  • D. 1.20 x 1024
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Correct Answer: Option B
Explanation

Given:

mass, m = 14g

Molar mass of N\(_2\) = 14 X 2 = 28g/mol

number of moles, n = ?

But n = \(\frac{m}{M}\) = \(\frac{14}{28}\) 

                       n = 0.5 mole

Also, recall that Number of moles = \(\frac{Number of Molecules}{Avogadro number}\)

                                                n  = \(\frac{N}{L}\)

                                                N = n x L

                                                   = 0.5 x 6.02 x  10\(^{23}\)

                                                   = 3.01 x 10\(^{23}\) molecules

 


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