Concept explainers
Moles within Moles and Molar Mass
Part 1:
- a How many hydrogen and oxygen atoms are present in 1 molecule of H2O?
- b How many moles of hydrogen and oxygen atoms are present in 1 mol H2O?
- c What are the masses of hydrogen and oxygen in 1.0 mol H2O?
- d What is the mass of 1.0 mol H2O?
Part 2: Two hypothetical ionic compounds are discovered with the chemical formulas XCl2 and YCl2, where X and Y represent symbols of the imaginary elements. Chemical analysis of the two compounds reveals that 0.25 mol XCl2 has a mass of 100.0 g and 0.50 mol YCl2 has a mass of 125.0 g.
- a What are the molar masses of XCl2 and YCl2?
- b If you had 1.0-mol samples of XCl2 and YCl2, how would the number of chloride ions compare?
- c If you had 1.0-mol samples of XCl2 and YCl2, how would the masses of elements X and Y compare?
- d What is the mass of chloride ions present in 1.0 mol XCl2 and 1.0 mol YCl2?
- e What are the molar masses of elements X and Y?
- f How many moles of X ions and chloride ions would be present in a 200.0-g sample of XCl2?
- g How many grams of Y ions would be present in a 250.0-g sample of YCl2?
- h What would be the molar mass of the compound YBr3?
Part 3: A minute sample of AlCl3 is analyzed for chlorine. The analysis reveals that there are 12 chloride ions present in the sample. How many aluminum ions must be present in the sample?
- a What is the total mass of AlCl3 in this sample?
- b How many moles of AlCl2 are in this sample?
(1-a)
Interpretation:
The number of Hydrogen and oxygen atoms in 1
Answer to Problem 3.18QP
One molecule of
Explanation of Solution
To give the number of Hydrogen and oxygen atoms in 1
From the molecular formula of the Water molecule, it has 1 Oxygen and 2 Hydrogen atoms.
The number of Hydrogen and oxygen atoms in 1
(1-b)
Interpretation:
The number of moles of Hydrogen and oxygen atoms present in 1 mole of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
1 mole of
Explanation of Solution
To give the number of moles of Hydrogen and oxygen atoms present in 1 mole of
Molecule formula of water is
The number of moles of Hydrogen and oxygen atoms present in 1 mole of
(1-c)
Interpretation:
The masses of Hydrogen and Oxygen in 1 mole of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
1 mole of
Explanation of Solution
To calculate the masses of Hydrogen and Oxygen in 1 mole of
Molar mass of Hydrogen is
Molar mass of Oxygen is
Masses of Hydrogen in 1 mole of
The molar mass of Hydrogen is plugged in above equation to give mass of Hydrogen in 1 mole of
Masses of Oxygen in 1 mole of
The molar mass of Oxygen is plugged in above equation to give mass of Oxygen in 1 mole of
1 mole of
The masses of Hydrogen and Oxygen in 1 mole of
(1-d)
Interpretation:
Mass of 1 mole
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
Mass of 1 mole
Explanation of Solution
To calculate the mass of 1.0 mole of
Molar mass of Hydrogen is
Molar mass of Oxygen is
Masses of Hydrogen in 1 mole of
The molar mass of Hydrogen is plugged in above equation to give mass of Hydrogen in 1 mole of
Masses of Oxygen in 1 mole of
The molar mass of Oxygen is plugged in above equation to give mass of Oxygen in 1 mole of
1 mole of
Sum the above calculated masses of Hydrogen and Oxygen to gives mass of 1 mole
Mass of 1 mole
(2-a)
Interpretation:
The molar masses of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The molar mass of
The molar mass of
Explanation of Solution
To calculate the molar masses of
Given,
Rearrange the above equation to give a result of plugged the values.
Plugged the given moles and mass of the compounds to give the molar masses of the compound.
The molar masses of
(2-b)
Interpretation:
The number of Chlorine atoms in 1 moles of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
1 mole of
Explanation of Solution
To explain the he number of Chlorine atoms in 1 moles of
Formula of
The number of Chlorine atoms in 1 moles of
(2-c)
Interpretation:
The mass of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The mass of
Explanation of Solution
To comparatively explain the mass of
Given,
Rearrange the above equation to give a result of plugged the values.
Plugged the given moles and mass of the compounds to give the molar masses of the compound.
From the above mole calculation, the mole of
Hence, the mass of
The mass of
(2-d)
Interpretation:
The mass of Chlorine ion in 1 moles of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The mass of Chlorine in 1 moles of
Explanation of Solution
To calculate the mass of Chlorine ion in 1 moles of
Given,
Molar mass of Chlorine is
Molecular formula of given compound is
From this, both compounds are having same number of atoms so the mass of chlorine atoms present in 1 moles of both
The mass of Chlorine in 1 moles of
Molar mass of Chlorine and is plugged in above equation to give the mass of Chlorine 1 moles of
The mass of Chlorine ion in 1 moles of
(2-e)
Interpretation:
The molar masses of X and Y elements should be calculated.
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The molar mass of
The molar mass of
Explanation of Solution
To calculate the molar masses X and Y elements.
Given,
Rearrange the above equation to give a result of plugged the values.
Plugged the given moles and mass of the compounds to give the molar masses of the compound.
We know the molar mass of Chlorine is
Subtracts the mass of Chlorine from The calculated molar mass of each elements to gives the molar mass of X and Y.
The molar masses of X and Y elements were calculated.
(2-f)
Interpretation:
The number of moles of chlorine and X ions present in
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The number of moles of Chlorine ions present in
The number of moles of X ions present in
Explanation of Solution
To calculate the number of moles of chlorine and X ions present in
Given,
Rearrange the above equation to give a result of plugged the values.
The number of moles of chlorine and X ions present in
The number of moles of chlorine and Cl ions present in
The number of Chlorine and X ions present in 1 molecule and mass of given sample are plugged in above equation to give moles of chlorine and X ions present in
The number of moles of Chlorine ions present in
The number of moles of X ions present in
The number of moles of chlorine and X ions present in
(2-g)
Interpretation:
The gram mass of Y ions present in
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The gram mass of Y ions present in
Explanation of Solution
To calculate the gram mass of Y ions present in
Given,
Rearrange the above equation to give a result of plugged the values.
The number of moles of chlorine and Y ions present in
The molar mass of Y and mass of sample are plugged in above equation to gives the gram mass of Y ions present in
The gram mass of Y ions present in
The gram mass of Y ions present in
(2-h)
Interpretation:
The molar mass of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The molar mass of
Explanation of Solution
To calculate the molar mass of
Given,
Rearrange the above equation to give a result of plugged the values.
Plugged the given moles and mass of the compounds to give the molar masses of the compound.
We know the molar mass of Chlorine is
Subtracts the mass of Chlorine from The calculated molar mass of Y to gives the molar mass of Y.
The molar mass of Bromine is
The given compound
To sum the masses of Y with 3 bromine to give molar mass of
The molar mass of
The molar mass of
(3-a)
Interpretation:
The total mass of given sample should be calculated.
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The total mass of given sample is
Explanation of Solution
To calculate the total mass of given sample.
Given,
12 Chloride ions present in given sample.
In 1 molecule of
So the 4 unit of
The sample has 4
The mass of sample is,
Molar mass of
The number of
The total mass of given sample is
The total mass of given sample was calculated.
(3-b)
Interpretation:
The mole of
Concept introduction:
Mole:
Number of atoms present in gram atomic mass of element is known as Avogadro number.
Avogadro number is
One mole equal of atom equal to Avogadro number
The mole of taken gram mass of compound is given by ratio between taken mass of compound to molar mass of compound.
Answer to Problem 3.18QP
The mole of
Explanation of Solution
To calculate the mole of
Given,
12 Chloride ions present in given sample.
In 1 molecule of
So the 4 unit of
The sample has 4
The mole of
The number of
The mole of
The mole of
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