Hello, can anyone help me with this question?
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Answer: a. [tex]11.9\times 10^{23}atoms[/tex] of carbon
b. [tex]35.7\times 10^{23}atoms[/tex] of hydrogen
c. [tex]5.96\times 10^{23}atoms[/tex] of oxygen
Explanation:
According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.
To calculate the moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar Mass}}=\frac{45.6g}{46.07g/mol}=0.989moles[/tex]
a) 1 mole of ethanol [tex](C_2H_5OH)[/tex] contains = [tex]2\times 6.023\times 10^{23}=12.05\times 10^{23}atoms[/tex] of carbon
Thus 0.989 moles ethanol [tex](C_2H_5OH)[/tex] contains = [tex]\frac{12.05\times 10^{23}}{1}\times 0.989=11.9\times 10^{23}atoms[/tex] of carbon
b) 1 mole of ethanol [tex](C_2H_5OH)[/tex] contains = [tex]6\times 6.023\times 10^{23}=36.14\times 10^{23}atoms[/tex] of hydrogen
Thus 0.989 moles ethanol [tex](C_2H_5OH)[/tex] contains = [tex]\frac{36.14\times 10^{23}}{1}\times 0.989=35.7\times 10^{23}atoms[/tex] of hydrogen
c) 1 mole of ethanol [tex](C_2H_5OH)[/tex] contains = [tex]6.023\times 10^{23}atoms[/tex] of oxygen
Thus 0.989 moles ethanol [tex](C_2H_5OH)[/tex] contains = [tex]\frac{6.023\times 10^{23}}{1}\times 0.989=5.96\times 10^{23}atoms[/tex] of oxygen