Question #a1c07

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Answer 1 · 2018-01-27T03:18:56

$=8.97xx10^22 C_3H_8 " molecules"$

Write the balanced equation

$C_3H_8(g)+5O_2(g)->3CO_2(g)+4H_2O(g)$
Assuming that the $CO_2$ gas produced from the reaction behaved ideally; thus, the relationship that $"1mol of any ideal gas occupies a volume of 22.4L"$ is the equivalence statement needed to find the unknown variable and can be interpreted as:

$"1mol of any ideal gas"$ $-=22.4L$ $"of any ideal gas"$
Given the desired volume of $CO_2$ ; that is, 10.0L and the relationship described above, it can be deduced that the number of moles $(eta)$ :

$eta=10.0cancel(L*CO_2)xx(1molCO_2)/(22.4cancel(L*CO_2))=0.446molCO_2$
Now, find the number of moles of $C_3H_8$ . To convert $etaCO_2$ to $etaC_3H_8$ , refer to the balanced equation for the mole ratio; i.e.,

$=0.446cancel(molCO_2)xx(1molC_3H_8)/(3cancel(molCO_2))$
$=0.149molC_3H_8$
Knowing the number of moles of $C_3H_8$ , the number of molecules can be obtained through the relationship:

$"1mol of " C_3H_8$ $-=6.02xx10^23C_3H_8 " molecules"$
Now, using the preceding equivalence statement where a suitable conversion factor is obtainable, the number of molecules of $C_3H_8$ is;

$=0.149cancel(molC_3H_8)xx(6.02xx10^23C_3H_8 " molecules")/(1cancel(molC_3H_8))$
$=0.897xx10^23C_3H_8" molecules"$
$=8.97xx10^22C_3H_8 " molecules"$