Respuesta :
Percent composition would be the amount of a substance per amount of the whole sample. In this case, we are asked for the grams carbon per gram of glucose. We do as follows:
1 g C6H12O6 ( 1 mol C6H12O6 / 180.16 g C6H12O6) ( 6 mol C / 1 mol C6H12O6 ) ( 12 g C / 1 mol C) = 0.3996 g C
Percent composition C = 0.3996 / 1 x 100 = 39.96% C
1 g C6H12O6 ( 1 mol C6H12O6 / 180.16 g C6H12O6) ( 6 mol C / 1 mol C6H12O6 ) ( 12 g C / 1 mol C) = 0.3996 g C
Percent composition C = 0.3996 / 1 x 100 = 39.96% C
Answer : The correct option is, 40 %
Explanation: Given,
Molar mass of C = 12.01 g/mole
Molar mass of H = 1.0079 g/mole
Molar mass of O = 16.00 g/mole
First we have to calculate the molar mass of glucose.
Molar mass of glucose [tex](C_6H_{12}O_6)[/tex] = [tex]6(12.01)+12(1.0079)+6(16.00)=180.155g/mole[/tex]
Now we have to calculate the percent composition of carbon in glucose.
As we now that there are 6 number of carbon atoms, 12 number of hydrogen atoms and 6 number of oxygen atoms.
The mass of carbon = [tex]6\times 12.01=72.06g[/tex]
Formula used :
[tex]\%\text{ Composition of carbon}=\frac{\text{Mass of carbon}}{\text{Molar mass of glucose}}\times 100[/tex]
Now put all the given values in this formula, we get the percent composition of carbon in glucose.
[tex]\%\text{ Composition of carbon}=\frac{72.06}{180.155}\times 100=39.9\%=40\%[/tex]
Therefore, the percent composition of carbon in glucose is, 40 %