question_answer

Which of the following has largest number of oxygen atoms? 1.0 g of O atoms, 1.0 g of \[{{O}_{2}},\,1.0\,g\] of ozone\[({{O}_{3}})\]. Justify your answer.

Answer:

                \[1.0\,g\] of \[O\] atoms \[=\frac{1}{16}g\] atoms of\[O=\frac{1}{16}\times 6.02\times {{10}^{23}}\]atoms\[=\frac{6.02\times {{10}^{23}}}{16}\]  atoms  \[1.0\,g\] of \[{{O}_{2}}=\frac{1}{32}\]mol of\[{{O}_{2}}=\frac{1}{32}\times 6.02\times {{10}^{23}}\]  molecules\[=2\times \frac{1}{32}\,\times 6.02\times {{10}^{23}}\]atoms\[=\frac{6.02\times {{10}^{23}}}{16}\]  atoms                 \[1.0\,g\] of \[{{O}_{3}}\]\[=\frac{1}{48}\,\] mol of \[{{O}_{3}}\]\[=\frac{1}{48}\times 6.02\times {{10}^{23}}\] molecules \[=3\times \frac{1}{48}\times 6.02\times {{10}^{23}}\]atoms\[=\frac{6.02\times {{10}^{23}}}{16}\] atoms Thus, all of them contain equal number of atoms.