calculate number of molecules and number of individual atoms in 18 gram of glucose
Answers
Answer:
0.6×6.022×10^23
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Answer:
The number of molecules in 18 g of glucose is 0.6022 × 10²³.
The number of carbon atoms in 18 g of glucose is 3.6132 × 10²³.
The number of hydrogen atoms in 18 g of glucose is 7.2264 × 10²³.
The number of oxygen atoms in 18 g of glucose is 3.6132 × 10²³.
Explanation:
We have given that the mass of glucose is 18 g.
We have to find the number of molecules of glucose and number of atoms of each element present in glucose.
We know that,
Molecular formula of glucose is C₆H₁₂O₆.
∴ Molar mass of glucose = [ ( 6 × Atomic mass of carbon ) + ( 12 × Atomic mass of hydrogen ) + ( 6 × Atomic mass of oxygen ) ]
⇒ Molar mass of glucose = [ ( 6 × 12 ) + ( 12 × 1 ) + ( 6 × 16 ) ]
⇒ Molar mass of glucose = ( 72 + 12 + 96 )
⇒ Molar mass of glucose = 84 + 96
⇒ Molar mass of glucose = 180 g mol⁻¹
Now,
Number of moles of glucose = ( Mass of glucose ) / ( Molar mass of glucose )
⇒ Number of moles of glucose = 18 g / 180 g mol⁻¹
⇒ Number of moles of glucose = 18 ÷ 180 mol
⇒ Number of moles of glucose = 0.1 mol
Now,
Number of molecules of glucose = Number of moles × Avogadro's number
⇒ Number of molecules of glucose = n × Nᴀ
⇒ Number of molecules of glucose = 0.1 × 6.022 × 10²³
⇒ Number of molecules of glucose = 0.6022 × 10²³
Now,
Number of carbon atoms = Number of carbon atoms in glucose × Number of molecules of glucose
⇒ Number of carbon atoms = 6 × 0.6022 × 10²³
⇒ Number of carbon atoms = 3.6132 × 10²³
Now,
Number of hydrogen atoms = Number of hydrogen atoms in glucose × Number of molecules of glucose
⇒ Number of hydrogen atoms = 12 × 0.6022 × 10²³
⇒ Number of hydrogen atoms = 7.2264 × 10²³
Now,
Number of oxygen atoms = Number of oxygen atoms in glucose × Number of molecules of glucose
⇒ Number of oxygen atoms = 6 × 0.6022 × 10²³
⇒ Number of oxygen atoms = 3.6132 × 10²³
∴ The number of molecules in 18 g of glucose is 0.6022 × 10²³.
The number of carbon atoms in 18 g of glucose is 3.6132 × 10²³.
The number of hydrogen atoms in 18 g of glucose is 7.2264 × 10²³.
The number of oxygen atoms in 18 g of glucose is 3.6132 × 10²³.