Assertion (A): Protium and deuterium differ in their rates of reactions.
Reason (R): They have different enthalpies of bond dissociation.
To determine whether the assertion and the reason are correct and if the reason is the correct explanation for the assertion, we must examine each statement:
1. Understanding Isotopes: Protium and deuterium are isotopes of hydrogen. Protium has 1 proton and 0 neutrons, whereas deuterium has 1 proton and 1 neutron.
2. Rate of Reaction Difference: Isotopes differ in reaction rates due to the isotope effect, which is influenced by mass differences. Deuterium, being heavier than protium, generally reacts more slowly.
3. Bond Dissociation Enthalpy: The energy required to break a bond differs between isotopes due to mass differences, affecting the enthalpy of bond dissociation.
4. Link between Bond Enthalpy and Reaction Rate: The different bond dissociation enthalpies of protium and deuterium alter their reaction mechanisms and reaction rates.
Based on these reasons, both the assertion and reason are correct, and the different bond dissociation enthalpies explain why protium and deuterium react at different rates.
Conclusion: Both (A) and (R) are correct, and (R) is the correct explanation of (A).
If the ratio of the terms equidistant from the middle term in the expansion of \((1 + x)^{12}\) is \(\frac{1}{256}\), then the sum of all the terms of the expansion \((1 + x)^{12}\) is:
A 3 kg block is connected as shown in the figure. Spring constants of two springs \( K_1 \) and \( K_2 \) are 50 Nm\(^{-1}\) and 150 Nm\(^{-1}\) respectively. The block is released from rest with the springs unstretched. The acceleration of the block in its lowest position is ( \( g = 10 \) ms\(^{-2}\) )