A) \[6\times {{10}^{13}}\]
B) \[{{10}^{24}}\]
C) \[1.7\times {{10}^{22}}\]
D) \[1.7\times {{10}^{12}}\]
Correct Answer: D
Solution :
[d] Volume of alveoli \[=\frac{4}{3}\pi {{R}^{3}}\] \[=\frac{4}{3}\times 3.14\times {{\left( 5\times {{10}^{-3}} \right)}^{3}}mL\] \[=5.23\times {{10}^{-7}}mL=5.23\times {{10}^{-7}}L\] \[{{n}_{2}}=\frac{14}{100}\times {{n}_{air}}=0.14\times \frac{PV}{RT}\] \[=0.14\times 1\times \frac{5.23\times {{10}^{-10}}}{0.0821\times 310}\] \[=2.87\times {{10}^{-12}}\] Molecules \[=2.87\times 6.02\times {{10}^{23}}\times {{10}^{-12}}\] \[=1.7\times {{10}^{12}}\]
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