1 \(34 \mathrm{~g}\) of \(\mathrm{H}_{2} \mathrm{O}\)
2 \(28 \mathrm{~g}\) of \(\mathrm{CO}_{2}\)
3 \(46 \mathrm{~g}\) of \(\mathrm{CH}_{3} \mathrm{OH}\)
4 \(54 \mathrm{~g}\) of \(\mathrm{N}_{2} \mathrm{O}_{5}\)
Explanation:
(1)\(34\;{\rm{g}}\,{\mkern 1mu} {\rm{of}}\,{\mkern 1mu} {{\rm{H}}_{\rm{2}}}{\rm{O}}\,\)
\(\because \)\(18{\mkern 1mu} {\rm{g}}{\mkern 1mu} {\rm{of}}{\mkern 1mu} {{\rm{H}}_{\rm{2}}}{\rm{O}} = 6.023 \times {10^{23}}{\rm{molecules}}\)
\(\therefore 34\;{\rm{g}}{\mkern 1mu} \,{\rm{of}}\,{\mkern 1mu} {{\rm{H}}_{\rm{2}}}{\rm{O}} = \frac{{6.023 \times {{10}^{23}} \times 34}}{{18}}\)
\( = 11.37 \times {10^{23}}{\rm{molecules}}\)
(2) 28g of \({\rm{C}}{{\rm{O}}_2}\)
\({\rm{44}}\;{\rm{g}}\,{\rm{of}}{\mkern 1mu} {\rm{C}}{{\rm{O}}_{\rm{2}}}{\rm{ = 6}}.{\rm{023}} \times {\rm{1}}{{\rm{0}}^{{\rm{23}}}}{\rm{molecules}}\)
\(\therefore {\rm{28}}\,{\rm{g}}\,{\mkern 1mu} {\rm{of}}\,{\mkern 1mu} {\rm{C}}{{\rm{O}}_{\rm{2}}}{\rm{ = }}\frac{{{\rm{6}}{\rm{.023 \times 1}}{{\rm{0}}^{{\rm{23}}}}{\rm{ \times 28}}}}{{{\rm{44}}}}\)
\( = 3.8 \times {10^{23}}{\rm{ molecules}}\)
(3)\({\rm{ 46}}\,{\rm{g of C}}{{\rm{H}}_{\rm{3}}}{\rm{OH}}\)
\({\rm{32}}{\mkern 1mu} {\rm{g}}\,{\mkern 1mu} {\rm{of}}\,{\rm{C}}{{\rm{H}}_{\rm{3}}}{\rm{OH}}\,{\rm{ = }}\,{\rm{6}}.{\rm{023}} \times {\rm{1}}{{\rm{0}}^{{\rm{23}}}}{\rm{molecules}}\)
\(\therefore {\rm{46}}\,{\rm{g}}{\mkern 1mu} \,{\rm{of}}{\mkern 1mu} \,{\rm{C}}{{\rm{H}}_{\rm{3}}}{\rm{OH}}\,\,{\rm{ = }}\frac{{{\rm{6}}{\rm{.023 \times 1}}{{\rm{0}}^{{\rm{23}}}}{\rm{ \times 46}}}}{{{\rm{32}}}}\)
\(\,{\rm{ = }}\,{\rm{8}}{\rm{.65 \times 1}}{{\rm{0}}^{{\rm{23}}}}{\rm{molecules}}\)
(4) 54g of \({{\rm{N}}_2}{{\rm{O}}_5}\)
\(\because \) \({\rm{108}}\;{\rm{g}}\,{\rm{of}}\,{{\rm{N}}_{\rm{2}}}{{\rm{O}}_{\rm{5}}}{\rm{ = }}{\mkern 1mu} {\rm{6}}.{\rm{023}} \times {\rm{1}}{{\rm{0}}^{{\rm{23}}}}{\rm{molecules}}\)
\(\because \) \(\)\({\rm{54}}\;{\rm{g}}\,{\rm{of}}\,{{\rm{N}}_{\rm{2}}}{{\rm{O}}_{\rm{5}}}{\rm{ = }}\frac{{{\rm{6}}{\rm{.023 \times 1}}{{\rm{0}}^{{\rm{23}}}}{\rm{ \times 54}}}}{{{\rm{108}}}}\)
\( = 3.01 \times {10^{23}}{\rm{molecules}}\)
Thus,34 g of \({{\rm{H}}_2}{\rm{O}}\) contains the largest number of molecules