Answer
Verified
402.6k+ views
Hint: Ionization energy (IE) is a measure of the amount of energy required to take out an electron from the shell of an atom. Energy is supplied to surpass the existing forces of attraction in the element. It is the highest for noble gases.
Complete answer:
Let us understand the concept of Ionization Potential before the calculations.
“The first ionization energy is the energy required to remove one mole of the most loosely held electrons from one mole of gaseous atoms to produce 1 mole of gaseous ions each with a charge of +1.” It can be portrayed by the following reaction –
$M(g)\to {{M}^{+}}(g)+{{e}^{-}}$
The amount of energy which is required to carry out the above reaction is known as ionization potential.
Ionization energy can be expressed in any of the following units –
eV/ molecule
kJ/ mole
kcal/ mole
Now, according to the question, Ionization energy (IE) of Na is 513 kJ/mol.
1 kJ/mole = $\dfrac{1000}{{{N}_{A}}}$ J/ molecule
Where, ${{\text{N}}_{\text{A}}}$ = Avogadro’s number
513 kJ/mole = 513 x $\dfrac{1000}{{{N}_{A}}}$ J/ molecule = 513 x $\dfrac{\text{1000}}{\text{6}\text{.02 x 1}{{\text{0}}^{\text{23}}}}\text{ = 8}\text{.522 x 1}{{\text{0}}^{\text{-19}}}$ J/ molecule
1 Joule = $\dfrac{\text{1}}{\text{1}\text{.6 x 1}{{\text{0}}^{\text{19}}}}$eV
So, we get $\dfrac{\text{8}\text{.522x1}{{\text{0}}^{\text{-19}}}}{\text{1}\text{.6x1}{{\text{0}}^{\text{19}}}}$eV = $\text{53}\text{.26 x}{{10}^{-1}}$ eV.
Therefore, the answer is – The value of x is 53.26.
Additional Information: Noble gases have the highest ionization energies because they are very stable.
Note: Alternately, you can also do it by remembering a simple conversion –
1 eV = 96.49 kJ/mol.
Given, Ionization energy (IE) of Na is 513 kJ/mol.
From the above conversion, 1 kJ/ mol = $\dfrac{1}{96.49}$ eV
Therefore, 513 kJ/ mol = $\dfrac{513}{96.49}$ eV = 5.32 eV
Complete answer:
Let us understand the concept of Ionization Potential before the calculations.
“The first ionization energy is the energy required to remove one mole of the most loosely held electrons from one mole of gaseous atoms to produce 1 mole of gaseous ions each with a charge of +1.” It can be portrayed by the following reaction –
$M(g)\to {{M}^{+}}(g)+{{e}^{-}}$
The amount of energy which is required to carry out the above reaction is known as ionization potential.
Ionization energy can be expressed in any of the following units –
eV/ molecule
kJ/ mole
kcal/ mole
Now, according to the question, Ionization energy (IE) of Na is 513 kJ/mol.
1 kJ/mole = $\dfrac{1000}{{{N}_{A}}}$ J/ molecule
Where, ${{\text{N}}_{\text{A}}}$ = Avogadro’s number
513 kJ/mole = 513 x $\dfrac{1000}{{{N}_{A}}}$ J/ molecule = 513 x $\dfrac{\text{1000}}{\text{6}\text{.02 x 1}{{\text{0}}^{\text{23}}}}\text{ = 8}\text{.522 x 1}{{\text{0}}^{\text{-19}}}$ J/ molecule
1 Joule = $\dfrac{\text{1}}{\text{1}\text{.6 x 1}{{\text{0}}^{\text{19}}}}$eV
So, we get $\dfrac{\text{8}\text{.522x1}{{\text{0}}^{\text{-19}}}}{\text{1}\text{.6x1}{{\text{0}}^{\text{19}}}}$eV = $\text{53}\text{.26 x}{{10}^{-1}}$ eV.
Therefore, the answer is – The value of x is 53.26.
Additional Information: Noble gases have the highest ionization energies because they are very stable.
Note: Alternately, you can also do it by remembering a simple conversion –
1 eV = 96.49 kJ/mol.
Given, Ionization energy (IE) of Na is 513 kJ/mol.
From the above conversion, 1 kJ/ mol = $\dfrac{1}{96.49}$ eV
Therefore, 513 kJ/ mol = $\dfrac{513}{96.49}$ eV = 5.32 eV
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE