Question #64726

how many O atoms are present in a 7.07 ng sample of quinine, C20H24O2N2? Note: 1 ng is one nanogram.

Expert's answer

Question #64726, Chemistry / Other

How many O atoms are present in a 7.07 ng sample of quinine, C20H24O2N2C_{20}H_{24}O_2N_2? Note: 1 ng is one nanogram.

Answer:

1 ng = 10910^{-9} g

7.07 ng = 7.07×1097.07 \times 10^{-9} g


n(quinine)=m(quinine)M(quinine)n(\text{quinine}) = \frac{m(\text{quinine})}{M(\text{quinine})}n(quinine)=7.07×109 g324.42 g/mol=2.17×1011 moln(\text{quinine}) = \frac{7.07 \times 10^{-9} \text{ g}}{324.42 \text{ g/mol}} = 2.17 \times 10^{-11} \text{ mol}

N(quinine)=2.17×1011 mol×6.02×1023 mol1=1.312×1013 moleculesN(\text{quinine}) = 2.17 \times 10^{-11} \text{ mol} \times 6.02 \times 10^{23} \text{ mol}^{-1} = 1.312 \times 10^{13} \text{ molecules}

Each quinine molecule contains 2 O atoms. Thus:


N(O)=1.312×1013×2=2.624×1013 atomsN(O) = 1.312 \times 10^{13} \times 2 = 2.624 \times 10^{13} \text{ atoms}


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