Question #103157

How many atoms of oxygen are there in 45.67 g of C6H12O6?

Expert's answer

Solution.


Calculate molecular mass C6H12O6:

M=12∗6+12+16∗6=180M=12*6+12+16*6=180 g/mole.


Calculate amount mole of substance in 45.67 g of C6H12O6:

ν=mM=45.67180=0.25\nu=\dfrac{m}{M}=\dfrac{45.67}{180}=0.25 mole.


1 mole contains number of molecules NA=6.02∗1023N_A=6.02*10^{23} molecules, so in 45.67 g C6H12O6 contains number of molecules:

N=NA∗ν=6.02∗1023∗0.25=1.505∗1023N=N_A*\nu=6.02*10^{23}*0.25=1.505*10^{23}molecules.


1 molecule contains 6 atoms of oxygen, so number of atoms:

NO=N∗6=1.505∗1023∗6=9.03∗1023N_O=N*6=1.505*10^{23}*6=9.03*10^{23} atoms of oxygen.


Answer: 9.03∗10239.03*10^{23} atoms of oxygen.



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