Question #337281

C5H12 (l) + 8O2 (g) → 5CO2 (g) + 6 H2O (g)


1. Given 4.3 x 1024 atoms of oxygen (O), how many moles of carbon dioxide (CO2) are present? Answer with 2 sig figs.



1
Expert's answer
2022-05-05T17:25:04-0400

By the balanced reaction the proportion of the O2O_2 and CO2CO_2 mol number is:

8n(O2)=5n(CO2)8n(O_2) = 5n(CO_2)


By the given details, the mol number of the O2O_2 can be deduced from the following formula:

n(O2)=N(O2)NAn(O_2) = \frac{N(O_2)}{N_A} , where the NA=6.022×1023p/molN_A= 6.022 \times10^{23} p/mol Avogadro's number.


n(O2)=4.3×10246.022×1022=0.71×102moln(O_2) = \frac{4.3 \times 10^{24}}{6.022 \times 10^{22}} = 0.71\times10^2 mol


Using the first proportion from the balanced equation the mol number of the carbon dioxide is:

n(CO2)=8n(O2)5=8×0.71×1025=1.1×102moln(CO_2)=\frac{8n(O_2)}{5} = \frac{8\times 0.71\times 10^2}{5} = 1.1 \times 10^2 mol



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