If the first ionisation enthalpy of $\mathrm{Li}, \mathrm{Be}$ and C respectively are $520,899,1086…

If the first ionisation enthalpy of $\mathrm{Li}, \mathrm{Be}$ and C respectively are $520,899,1086 \mathrm{~kJ} \mathrm{~mol}^{-1}$, the first ionisation enthalpy (in $\mathrm{kJ} \mathrm{mol}^{-1}$ ) of B will be
  1. 487
  2. 950
  3. 801
  4. 1402

Solution

First ionisation enthalpy of $\mathrm{Li}, \mathrm{Be}$ and C respectively are $520,899,1086 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The ionisation energy depend on the (i) Size of the atom (ii) effective nuclear charge (iii) Screening effect (iv) Penetration effect (v) Electronic configuration $\begin{aligned} & \mathrm{Li}-1 \mathrm{~s}^2 2 \mathrm{~s}^1 \\ & \mathrm{Be}-1 \mathrm{~s}^2 2 \mathrm{~s}^2 \\ & \mathrm{~B}-1 \mathrm{~s}^2 2 \mathrm{~s}^2 2 \mathrm{p}^1 \\ & \mathrm{C}-1 \mathrm{~s}^2 2 \mathrm{~s}^2 2 \mathrm{p}^2 \end{aligned}$ (i) Left to right in the periodic table ionisation enthalpy increase. (ii) Beryllium have full filled orbital so its ionisation energy is more than boron. So, order will be. $\begin{aligned} & \mathrm{C}\gt\mathrm{Be}\gt\mathrm{B}\gt\mathrm{Li} \\ & 1086\gt899\gt{----}\gt520 \end{aligned}$ So, the value of Boron in between 899 to 520 . $\therefore$ Correct option will be (c). which is 801 value for Boron.

Asked in: AP EAMCET 2024 (19 May Shift 2)

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