What is the percentage by mass of lead sulphate?
Answer
577.5k+ views
Hint: We very well know that the percentage composition of a molecule or a compound or a complex is the amount of each element or atom divided by the total amount of individual elements or atoms in that particular molecule or compound and this is then multiplied with 100.
Formula used:
We will use the following formula:-
Percentage composition of each atom = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
Complete answer:
Let us begin with discussion of percentage composition as follows:-
Percentage composition: It refers to the ratio of an amount of each element to the total amount of individual elements in a particular molecule, compound or complex which is further multiplied with 100. Mathematically it is represented as follows:-
Percentage composition of each atom = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
-The mass of 1 mole of lead sulphate ($PbS{{O}_{4}}$):-
Molar mass of Pb = 207 g/mol
Molar mass of S = 32 g/mol
Molar mass of O = 16g/mol
So total molar mass of$PbS{{O}_{4}}$= [(207) + (32) + 4(16)]g/mol = 303 g/mol
-Percentage composition of lead (Pb) in lead sulphate ($PbS{{O}_{4}}$):-
Total mass of lead present in the molecule of $PbS{{O}_{4}}$= 202 g/mol
So percent composition of Pb = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
$\begin{align}
& \Rightarrow \dfrac{207g/mol}{303g/mol}\times 100\% \\
& \Rightarrow 68.31\% \\
\end{align}$
-Percentage composition of sulphur (S) in lead sulphate ($PbS{{O}_{4}}$):-
Total mass of sulphur present in the molecule of $PbS{{O}_{4}}$= 32 g/mol
So percent composition of S = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
$\begin{align}
& \Rightarrow \dfrac{32g/mol}{303g/mol}\times 100\% \\
& \Rightarrow 10.56\% \\
\end{align}$
-Percentage composition of oxygen (O) in lead sulphate ($PbS{{O}_{4}}$):-
Total mass of oxygen present in the molecule of $PbS{{O}_{4}}$= 3(16) g/mol = 48 g/mol
So percent composition of O = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
$\begin{align}
& \Rightarrow \dfrac{64g/mol}{303g/mol}\times 100\% \\
& \Rightarrow 21.12\% \\
\end{align}$
Note:
-Remember that the sum of mass percentage of all the elements present in a molecule or compound is always equal to a hundred.
-Also try to remember and learn atomic numbers and molar masses of important elements from the periodic table for time saving.
Formula used:
We will use the following formula:-
Percentage composition of each atom = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
Complete answer:
Let us begin with discussion of percentage composition as follows:-
Percentage composition: It refers to the ratio of an amount of each element to the total amount of individual elements in a particular molecule, compound or complex which is further multiplied with 100. Mathematically it is represented as follows:-
Percentage composition of each atom = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
-The mass of 1 mole of lead sulphate ($PbS{{O}_{4}}$):-
Molar mass of Pb = 207 g/mol
Molar mass of S = 32 g/mol
Molar mass of O = 16g/mol
So total molar mass of$PbS{{O}_{4}}$= [(207) + (32) + 4(16)]g/mol = 303 g/mol
-Percentage composition of lead (Pb) in lead sulphate ($PbS{{O}_{4}}$):-
Total mass of lead present in the molecule of $PbS{{O}_{4}}$= 202 g/mol
So percent composition of Pb = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
$\begin{align}
& \Rightarrow \dfrac{207g/mol}{303g/mol}\times 100\% \\
& \Rightarrow 68.31\% \\
\end{align}$
-Percentage composition of sulphur (S) in lead sulphate ($PbS{{O}_{4}}$):-
Total mass of sulphur present in the molecule of $PbS{{O}_{4}}$= 32 g/mol
So percent composition of S = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
$\begin{align}
& \Rightarrow \dfrac{32g/mol}{303g/mol}\times 100\% \\
& \Rightarrow 10.56\% \\
\end{align}$
-Percentage composition of oxygen (O) in lead sulphate ($PbS{{O}_{4}}$):-
Total mass of oxygen present in the molecule of $PbS{{O}_{4}}$= 3(16) g/mol = 48 g/mol
So percent composition of O = $\dfrac{\text{Molar mass of the atom present}}{\text{Molar mass of the molecule}}$
$\begin{align}
& \Rightarrow \dfrac{64g/mol}{303g/mol}\times 100\% \\
& \Rightarrow 21.12\% \\
\end{align}$
Note:
-Remember that the sum of mass percentage of all the elements present in a molecule or compound is always equal to a hundred.
-Also try to remember and learn atomic numbers and molar masses of important elements from the periodic table for time saving.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

