Calculate the mass percentage of different elements in calcium phosphate.
Answer
Verified
Hint: The mass percentage is the mass of elements divided by the molar mass of the compound. Here, the given compound to us is calcium phosphate and its formula is $C{{a}_{3}}{{(P{{O}_{4}})}_{2}}$. We can find the molar mass and then divide the mass of each component by the total mass to get the answer.
Complete answer:
To find the mass percentage of different elements in calcium phosphate we need to know the elements present in calcium phosphate and to know that we
need to know the formula of calcium phosphate, which is $C{{a}_{3}}{{(P{{O}_{4}})}_{2}}$.
We know that mass percentage can be calculated by dividing the mass of the element by the total mass of the compound.
Now that we know the formula of calcium phosphate, we can find out the mass percentage of its elements.
Firstly, we need to find out the total mass of the compound which is the molar mass.
So, molar mass of $C{{a}_{3}}{{(P{{O}_{4}})}_{2}}$= ($3\times $atomic mass of calcium) +
($2\times $atomic mass of phosphorus) + ($8\times $atomic mass of oxygen)
We know that atomic mass of calcium = 40, phosphorus = 31 and that of oxygen = 16.
Therefore, putting the values we get, molar mass of $C{{a}_{3}}{{(P{{O}_{4}})}_{2}}$= 120+62+128 = 310.
Therefore, the mass percentage of calcium in calcium phosphate = $\dfrac{120}{310}\times 100=38.71%$.
Similarly, the mass percentage of phosphorus in calcium phosphate = $\dfrac{62}{310}\times 100=20%$.
And the mass
percentage of oxygen in calcium phosphate = $\dfrac{128}{310}\times 100=41.29%$.
Therefore, we can write that the mass percentage of all the elements in calcium phosphate is 38.71% calcium, 20% phosphorous and 41.29% oxygen.
Note: We can say that mass percentage is a way of defining the concentration of a particular element in the given compound. Over here it explains the amount of each element present in calcium phosphate.
Answer
Verified
Hint: The molar mass of any chemical compound refers to the ratio of mass of a sample of that particular compound and the amount of substance in that particular sample (in moles). The molar mass is actually a bulk characteristic of a substance rather than molecular. The molar mass is generally represented as.\[gmo{l^{ - 1}}\].
Complete step by step answer:
The molar mass of any compound can be found out by adding the relative atomic masses of each element present in
that particular compound. The number of atoms in a compound can be determined from their chemical formula.
Now, let us calculate the molar mass of the given compound i.e. calcium phosphate. The molecular or chemical formula of calcium phosphate is\[C{a_3}{\left( {P{O_4}} \right)_2}\]or \[C{a_3}{O_8}{P_2}\]. We already know the atomic mass of calcium, phosphorus and oxygen which is mentioned below:
$\begin{gathered}
Ca = 40.078u \\
O = 15.9994u \\
P
= 30.9737u \\
\end{gathered} $
From the chemical formula, it is clear that calcium phosphate comprises of three atoms of calcium, two atoms of phosphorus and eight atoms of oxygen and thus molar mass of this compound can be easily calculated by adding the mass of three calcium atoms, two phosphorus atoms and eight oxygen atom as shown below:
\[
Molar{\text{ }}mass{\text{ }}of{\text{ C}}{{\text{a}}_3}{(P{O_4})_2} = (3 \times Ca) + (2 \times P) + (8 \times O) \\
= (3 \times 40.078)
+ (2 \times 30.9737) + (8 \times 15.9994) = 310.1766gmo{l^{ - 1}} \\
\]
Hence, the molar mass of calcium phosphate is 310.1766\[gmo{l^{ - 1}}\].
Note: Molar mass plays a significant role in chemistry especially during setting up an experiment. During testing principles which involve specific amounts or quantities of a substance, molar mass is used to figure out the exact quantity to be weighed of that particular substance. Basically molar mass is used to determine the stoichiometry in the chemical reactions as well as equations.
Question:
What is the molar mass of calcium phosphate?
It is the calculated mass of one mole of a substance. The magnitude of formula mass (in case of a compound) or atomic mass (in case of an atom) and molar mass of a substance is the same. The only difference is in their units, that is the formula masses/atomic masses are measured in the atomic mass unit (amu) whereas molar masses are taken in grams.
Answer and Explanation: 1
The molar mass of calcium, phosphorus, and oxygen is:
- The molar mass of calcium is 40.078 g/mol.
- The molar mass of phosphorus is 30.97 g/mol.
- The molar mass of oxygen is 15.999 g/mol.
The molar mass of calcium phosphate is calculated as the sum of the atomic masses taken in grams of calcium, phosphorus, and oxygen present in the formula unit of {eq}\rm C{a_3}{\left( {P{O_4}} \right)_2} {/eq}.
The molar mass of {eq}\rm C{a_3}{\left( {P{O_4}} \right)_2} {/eq} is calculated as given below:
{eq}\begin{align*} \rm Molar{\rm{ }}~mass{\rm{ }}~of~{\rm{ }}C{a_3}{\left( {P{O_4}} \right)_2} &=\rm 3 \times 40.078\;g/mol + \left( {2 \times 30.97\;g/mol + 8 \times 15.999\;g/mol} \right)\\ &=\rm 120.234\,\;g/mol + 61.94\;g/mol + 127.992\;g/mol\\ &=\rm 310.166\;g/mol \end{align*} {/eq}
Thus, the molar mass of {eq}\rm C{a_3}{\left( {P{O_4}} \right)_2} {/eq} is 310.166 g/mol.
Learn more about this topic:
What is Molar Mass? - Definition, Formula & Examples
from
Chapter 28 / Lesson 24
What is molar mass? Learn the definition of molar mass and how it relates to the periodic table. See examples of how to use the molar mass formula.