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Calculate the mass in grams of each of the followinga. 5.94 x 10^20 H2O2 moleculesb. 2.8 x 10^22 SO2 moleculesc. 4.5 x 10^25 O3 moleculesd. 9.85 x 10^19 CH4 molecules

Sagot :

Answer:

[tex]0.0335\ \text{g}[/tex]

[tex]2.978\ \text{g}[/tex]

[tex]3586.84\ \text{g}[/tex]

[tex]0.0026\ \text{g}[/tex]

Explanation:

Mass in grams is given by

[tex]m=\dfrac{nM}{N_A}[/tex]

where

n = Number of molecules

[tex]N_A[/tex] = Avogadro's number = [tex]6.022\times 10^{23}\ \text{mol}^{-1}[/tex]

M = Molar mass of molecule

Molar mass of [tex]H_2O_2[/tex] = 34.0147 g/mol

[tex]n=5.94\times 10^{20}[/tex]

[tex]m=\dfrac{5.94\times 10^{20}\times 34.0147}{6.022\times 10^{23}}\\\Rightarrow m=0.0335\ \text{g}[/tex]

Mass of [tex]H_2O_2=0.0335\ \text{g}[/tex]

Molar mass of [tex]SO_2[/tex] = 64.066 g/mol

[tex]n=2.8\times 10^{22}[/tex]

[tex]m=\dfrac{2.8\times 10^{22}\times 64.066}{6.022\times 10^{23}}\\\Rightarrow m=2.978\ \text{g}[/tex]

Mass of [tex]SO_2=2.978\ \text{g}[/tex]

Molar mass of [tex]O_3[/tex] = 48 g/mol

[tex]n=4.5\times 10^{25}[/tex]

[tex]m=\dfrac{4.5\times 10^{25}\times 48}{6.022\times 10^{23}}\\\Rightarrow m=3586.84\ \text{g}[/tex]

Mass of [tex]O_3=3586.84\ \text{g}[/tex]

Molar mass of [tex]CH_4[/tex] = 16.04 g/mol

[tex]n= 9.85\times 10^{19}[/tex]

[tex]m=\dfrac{9.85\times 10^{19}\times 16.04}{6.022\times 10^{23}}\\\Rightarrow m=0.0026\ \text{g}[/tex]

Mass of [tex]CH_4=0.0026\ \text{g}[/tex]

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