A gaseous mixture contains oxygen and nitrogen in the ratio of 1 : 4 by weight. Therefore the ratio of their number of molecules is
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a
1 : 4
b
1 : 8
c
7 : 32
d
3 : 16
answer is C.
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Detailed Solution
Let mass of oxygen = 1 g, Then mass of nitrogen = 4 gMol. wt. of N2=28 g, Mol. wt. of O2=32 g28 g of N2 has = 6.02 × 1023 molecules of nitrogen4 g of N2 has =6.02 × 102328 × 4 molecules of nitrogen= 6.02 × 10237 molecules of nitrogen32 g of O2 has = 6.02 × 1023 molecules of oxygen∴ 1 g of O2 has= 6.02 × 102332 × 1=6.02 × 102332 molecuels of oxygenThus, ratio of molecules of oxygen : nitrogen=6.02 × 1023/326.02 × 1023/7=7 : 32.