
Concept explainers
itamin B12 , cyancobalamin, is essential for human nutrition. Its molecular formula is C63H88CoN14O14P . A lack of this vita min in the diet can lead to anemia. Cyanocohalamin is the form of the vitamin found in vitamin supplements.
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(a)
Interpretation:
The molar mass of cyanocobalamin upto two decimal places is to be calculated.
Concept Introduction:
A molar mass of a substance is the mass of the substance divided by the number of moles of the substance. The SI unit of molar mass of kg/mol and other unit is g/mol.
The formula to calculate the molar mass is,
Molar mass of the substance= Mass of the substance(g)Number of moles.
Answer to Problem 128CP
The molar mass of cyanocobalamin to two decimal places is 1353.76 g/mol.
Explanation of Solution
The molecular formula of cyanocobalamnin is C63H88CoN14O14P.
The molar mass of carbon is 12 g/mol.
The molar mass of hydrogen is 1 g/mol.
The molar mass of oxygen is 15.99 g/mol.
The molar mass of nitrogen is 14 g/mol.
The molar mass of phosphorus is 30.97 g/mol.
The molar mass of cobalt is 58.93 g/mol.
The molar mass of cyanocobalamnin is calculated by the expression,
Molar mass of C63H88CoN14O14P=(63×molar mass of C)+(88×molar mass of H)+(1×molar mass of Co)+(14×molar mass of N)+(14×molar mass of O)+(1×molar mass of P)
Substitute the respective values of molar mass of each element in the above exopression.
Molar mass of C63H88CoN14O14P=(63×12 g/mol)+(88×1 g/mol)+(1×58.93 g/mol)+(14×14 g/mol)+(14×15.99 g/mol)+(1×30.97 g/mol)=1353.76 g/mol
Thus, the molar mass of cyanocobalmaine is 1353.76 g/mol.

(b)
Interpretation:
The number of moles of cyanaocobalamin molecules present in 250 mg of cyanaocobalamin is to be stated.
Concept Introduction:
A mole of a substance contains exactly 6.02214076×1023 of atoms/molecules. It is used to measure the amount of the substance in SI units.
The formula to calculate the number of moles is:
Number of moles= Mass of the substance(g)Molar mass of the substance.
Answer to Problem 128CP
The number of moles of cyanocobalamin molecules present in 250 mg of cyanocobalamin is 1.85×10−4 mol.
Explanation of Solution
The given mass of cyanocobalamin is 250 mg.
The conversion of mg to g is done as,
1 mg=10−3 g
Thus, the mass of cyanocobalamin is 0.250 g.
The molar mass of cyanocobalamin is 1353.76 g/mol.
The moles of cyanocobalamin is calculated by the expression,
Number of moles= Mass of the substance(g)Molar mass of the substance
Substitute the value of mass and molar of cyanocobalamin in the above expression.
Number of moles of cyanocobalamin=0.25 g1353.76 g/mol=1.85×10−4 mol
The number of moles of cyanocobalamin molecules present in 250 mg of cyanocobalamin is 1.85×10−4 mol.

(c)
Interpretation:
The mass of 0.60 mol of cyanocobalamine is to be stated.
Concept Introduction:
A mole of a substance contains exactly 6.02214076×1023 of atoms/molecules. It is used to measure the amount of the substance in SI units.
The formula to calculate the number of moles is:
Number of moles= Mass of the substance(g)Molar mass of the substance.
Answer to Problem 128CP
The mass of 0.60 mol of cyanocobalamine is 812.26 g.
Explanation of Solution
The given moles of cyanocobalamin is 0.60 mol.
The molar mass of cyanocobalamin is 1353.76 g/mol.
The mass of cyanocobalamin is calculated by the expression,
Mass of the substance(g)=Number of moles×Molar mass of the substance
Substitute the value of moles and molar of cyanocobalamin in the above expression.
Mass of cyanocobalamine=0.60×1353.76 g/mol=812.26 g
Thus, the mass of 0.60 mol of cyanocobalamine is 812.26 g.

(d)
Interpretation:
The atoms of hydrogen that are present in 1.0 mol of cyanocobalamin are to be stated.
Concept Introduction:
A mole of a substance contains exactly 6.02214076×1023 of atoms/molecules. It is used to measure the amount of the substance in SI units.
The formula to calculate the number of moles is:
Number of moles= Mass of the substance(g)Molar mass of the substance.
Answer to Problem 128CP
The atoms of hydrogen that are present in 1.0 mol of cyanocobalamin are 5.29×1025 atoms.
Explanation of Solution
The given moles of cyanocobalamin is 0.60 mol.
According to the molecular formula of cyanocobalamine that is C63H88CoN14O14P, there are total 88 atoms of hydrogen present in cyanocobalamine.
If 1.0 mol of substance contains 6.02214076×1023 of atoms then one mole of cyanocobalamine contains 6.02214076×1023×88=5.29×1025 atoms of hydrogen
Thus, atoms of hydrogen that are present in 1.0 mol of cyanocobalamin are 5.29×1025 atoms.

(e)
Interpretation:
The mass of 1×107 molecules of cyanocobalamine is to be stated.
Concept Introduction:
A mole of a substance contains exactly 6.02214076×1023 of atoms/molecules. It is used to measure the amount of the substance in SI units.
The formula to calculate the number of moles is:
Number of moles= Mass of the substance(g)Molar mass of the substance.
Answer to Problem 128CP
The mass of 1×107 molecules of cyanocobalamine is 244.80 ×10−16 g.
Explanation of Solution
The given number of molecules of cyanocobalamin is 1×107 molecules.
The molar mass of cyanocobalamin is 1353.76 g/mol.
1.0 mol of substance contains 6.022×1023 of atoms/molecules.
Thus, the mass of 1×107 molecules of cyanocobalamin is,
Mass=1353.766.022×1023×107=244.80 ×10−16 g
Thus, the mass of 1×107 molecules of cyanocobalamine is 244.80 ×10−16 g.

(f)
Interpretation:
The mass of one molecule of cyanocobalamine is to be stated.
Concept Introduction:
A mole of a substance contains exactly 6.02214076×1023 of atoms/molecules. It is used to measure the amount of the substance in SI units.
The formula to calculate the number of moles is:
Number of moles= Mass of the substance(g)Molar mass of the substance.
Answer to Problem 128CP
The mass of one molecule of cyanocobalamine is 244.80 ×10−23 g.
Explanation of Solution
The given number of molecules of cyanocobalamin is 1×107 molecules.
The molar mass of cyanocobalamin is 1353.76 g/mol.
1.0 mol of substance contains 6.022×1023 atoms/molecules.
Thus, the mass of 1 molecule of cyanocobalamin is,
Mass=1353.766.022×1023×1=244.80 ×10−23 g
Thus, the mass of 1 molecule of cyanocobalamine is 244.80 ×10−23 g.
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Chapter 8 Solutions
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