Calculate the weight of 0.1 mole of sodium carbonate.
A. 1.06 g
B. 11.06 g
C. 10.6 g
D. 1.106 g
Answer
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Hint: The mass can be calculated by using the formula of number of moles where the number of moles is equal to the mass of the chemical compound divided by the molecular weight of the chemical compound.
Complete step by step answer:
Given,
The mole of sodium carbonate present is 0.1 mole.
The number of moles of the chemical compound is calculated by dividing mass of the chemical compound by the molecular weight of the chemical compound.
The formula to calculate the moles of the chemical compound is shown below.
$n = \dfrac{m}{M}$
Where,
n is the number of moles.
m is the mass of the chemical compound
M is the molecular weight or atomic mass
The formula for mass is obtained multiplying the number of moles of the chemical compound with the molecular weight of the chemical compound.
The formula for calculating mass is shown below.
$m = n \times M$
The chemical formula of sodium carbonate is $N{a_2}C{O_3}$. The molecular weight of sodium carbonate is 106 g/mol.
The molecular weight is calculated by adding the atomic mass of individual atom present in the molecule and multiplying the number of atoms with the atomic mass.
To calculate the mass of sodium carbonate, substitute the value of mole and molecular weight in the equation.
$\Rightarrow 0.1mol \times 106g/mol$
$\Rightarrow 10.6g$
Thus, the weight of 0.1 mole sodium carbonate is 10.6g.
Therefore, the correct option is C.
Note:
The 1 mole of the pure chemical compound has the mass equal to its molecular mass which is expressed in grams. By the given relation of mole, molecular weight and mass, all three terms can be calculated if values of two terms are given.
Complete step by step answer:
Given,
The mole of sodium carbonate present is 0.1 mole.
The number of moles of the chemical compound is calculated by dividing mass of the chemical compound by the molecular weight of the chemical compound.
The formula to calculate the moles of the chemical compound is shown below.
$n = \dfrac{m}{M}$
Where,
n is the number of moles.
m is the mass of the chemical compound
M is the molecular weight or atomic mass
The formula for mass is obtained multiplying the number of moles of the chemical compound with the molecular weight of the chemical compound.
The formula for calculating mass is shown below.
$m = n \times M$
The chemical formula of sodium carbonate is $N{a_2}C{O_3}$. The molecular weight of sodium carbonate is 106 g/mol.
The molecular weight is calculated by adding the atomic mass of individual atom present in the molecule and multiplying the number of atoms with the atomic mass.
To calculate the mass of sodium carbonate, substitute the value of mole and molecular weight in the equation.
$\Rightarrow 0.1mol \times 106g/mol$
$\Rightarrow 10.6g$
Thus, the weight of 0.1 mole sodium carbonate is 10.6g.
Therefore, the correct option is C.
Note:
The 1 mole of the pure chemical compound has the mass equal to its molecular mass which is expressed in grams. By the given relation of mole, molecular weight and mass, all three terms can be calculated if values of two terms are given.
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