Answer
Verified
379.8k+ views
Hint: lattice energy of any compound is the energy that is required to completely separate the respective ions in an ionic compound that form their respective gaseous states. It is derived by the charges on both ions upon the distance between the two charged atoms in the ionic compound.
Complete answer:
Lattice energy can be defined as the energy required to completely separate the ions of an ionic compound into their gas states. The ions thus formed are cation (positive ions) and anions (negative ions).
Sodium chloride NaCl is an ionic compound that dissociates as:
$NaCl(s)\to N{{a}^{+}}(g)+C{{l}^{-}}(g)$
The formula of lattice energy can be derived as ${{E}_{lattice}}=k\dfrac{{{Q}_{1}}{{Q}_{2}}}{d}$ , where Q are the charges (positive and negative) and d is the distance between them, k is the constant of proportionality.
So, for NaCl it can be${{E}_{lattice}}NaCl=\dfrac{{{Q}_{1}}{{Q}_{2}}}{d}=X$that is X as given in the question.
Now, we have been given that NaCl is termed as AB and the ionic charges are${{A}^{+2}}$is equal to that of$N{{a}^{+}}$and ${{B}^{-2}}$is equal to$C{{l}^{-}}$, so the formula will be
${{E}_{lattice}}AB=\dfrac{(2{{Q}_{1}})(2{{Q}_{2}})}{d}=$
${{E}_{lattice}}AB=4\left( \dfrac{{{Q}_{1}}{{Q}_{2}}}{d} \right)$
As, $\dfrac{{{Q}_{1}}{{Q}_{2}}}{d}=X$,
Therefore, the lattice energy will be 4X.
Hence, lattice energy associated with the crystal AB is 4X.
Note:
As the charges on the ions, that is the cations and the anions, increase, the lattice energy of the compound also increases. While the distance between the charges of the ions or the ionic radii increases the lattice energy decreases. The formation of an ionic compound is exothermic while the dissociation or the reverse of it is endothermic.
Complete answer:
Lattice energy can be defined as the energy required to completely separate the ions of an ionic compound into their gas states. The ions thus formed are cation (positive ions) and anions (negative ions).
Sodium chloride NaCl is an ionic compound that dissociates as:
$NaCl(s)\to N{{a}^{+}}(g)+C{{l}^{-}}(g)$
The formula of lattice energy can be derived as ${{E}_{lattice}}=k\dfrac{{{Q}_{1}}{{Q}_{2}}}{d}$ , where Q are the charges (positive and negative) and d is the distance between them, k is the constant of proportionality.
So, for NaCl it can be${{E}_{lattice}}NaCl=\dfrac{{{Q}_{1}}{{Q}_{2}}}{d}=X$that is X as given in the question.
Now, we have been given that NaCl is termed as AB and the ionic charges are${{A}^{+2}}$is equal to that of$N{{a}^{+}}$and ${{B}^{-2}}$is equal to$C{{l}^{-}}$, so the formula will be
${{E}_{lattice}}AB=\dfrac{(2{{Q}_{1}})(2{{Q}_{2}})}{d}=$
${{E}_{lattice}}AB=4\left( \dfrac{{{Q}_{1}}{{Q}_{2}}}{d} \right)$
As, $\dfrac{{{Q}_{1}}{{Q}_{2}}}{d}=X$,
Therefore, the lattice energy will be 4X.
Hence, lattice energy associated with the crystal AB is 4X.
Note:
As the charges on the ions, that is the cations and the anions, increase, the lattice energy of the compound also increases. While the distance between the charges of the ions or the ionic radii increases the lattice energy decreases. The formation of an ionic compound is exothermic while the dissociation or the reverse of it is endothermic.
Recently Updated Pages
what is the correct chronological order of the following class 10 social science CBSE
Which of the following was not the actual cause for class 10 social science CBSE
Which of the following statements is not correct A class 10 social science CBSE
Which of the following leaders was not present in the class 10 social science CBSE
Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE
Which one of the following places is not covered by class 10 social science CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Why is there a time difference of about 5 hours between class 10 social science CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Draw a labelled sketch of the human eye class 12 physics CBSE