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Q.

For metal M, first ionization energy is equal to 38 kcal/mole. Which of the following can be a possible
value of ionization enthalpy of $M^{+}$ ion in kcal/mole at 400 K. [Given : R = 2 Cal / mole kelvin]

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a

45 kcal/mole

b

38 kcal/mole

c

39 kcal/mole

d

40 kcal/mole

answer is D.

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Detailed Solution

I.E. is defined at 0 K.

So, ${IE}_{1} = 38 + \frac{5}{2} \times 2 \times \frac{400}{1000} = 40$

Since, ${IE}_{2} > {IE}_{1}$ . So, only (d) option.

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For metal M, first ionization energy is equal to 38 kcal/mole. Which of the following can be a possiblevalue of ionization enthalpy of M+ion in kcal/mole at 400 K. [Given : R = 2 Cal / mole kelvin]