The standard free energy change \((ΔG°)\) for \(50%\) dissociation of \(N_2O_4\) into \(NO_2\) at \(27°C\) and 1 atm pressure is \(x\ J mol^{–1}\). The value of \(x\) is _____. (Nearest Integer)
[Given : \(R = 8.31\ JK^{–1} mol^{–1}\), \(log\ 1.33 = 0.1239\), \(ln\ 10 = 2.3\)]
[Given : \(R = 8.31\ JK^{–1} mol^{–1}\), \(log\ 1.33 = 0.1239\), \(ln\ 10 = 2.3\)]
Correct Answer: 710
Solution and Explanation
\(N_2O_4 ⇋ 2NO_2\)
\(t = 0\) \(1\) \(0\)
\(t = t_{eq.}\) \(1 – 0.5\) \(2×0.5\)
\(P_{N_2O_4} = 0.33\ atm\)
\(P_{NO_2} = 0.66\ atm\)
\(K_p = \frac {(P_{NO_2})^2}{P_{N_2O_4}}\)
\(= \frac {(0.66)^2}{0.33}\)
\(= 1.33\)
\(△G = -RT\ ln K_p\)
\(△G = -0.831 \times 300 \times 2.3 \times log\ 1.33\)
\(△G ≃ 710\ Jmol^{-1}\)
So, the correct answer is \(710\ Jmol^{-1}.\)
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Concepts Used:
Group 17 Elements
Halogens are the group 17 elements of the periodic table. The term ‘halogen’ means ‘salt-producing’, hence the name halogens as they possess the tendency to form salts after reacting to metals. It generally has five elements:
- Fluorine (F)
- Chlorine (Cl)
- Bromine (Br)
- Iodine (I)
- Astatine (At)
These are all naturally occurring halogens but Tennessine (Ts) is an artificially created halogen.
Halogens:
Halogens are highly reactive elements and are highly electronegative. They have a high tendency to react with metals to form salts. They are also known as Group 17 elements. They have 7 electrons in their outer shell with a configuration of (ns2 np5). Fluorine being the first halogen in group 17, is highly reactive. Astatine is a halogen because of its resemblance with iodine despite it being radioactive.
Electronic Configuration:
The general electronic configuration for group 17 elements is ns2np5. This configuration clearly shows that they have 7 electrons in their valence shell. They require one more electron to complete their octet and achieve noble gas configuration.
