Analyzing the Setup
The question tests our factual knowledge about the properties and preparation of dihydrogen (H2)
We need to evaluate four distinct statements covering its dissociation, bond enthalpy, and chemical reactions.
The Strength of the H-H Bond
Let's start by understanding the nature of the hydrogen molecule
Hydrogen atoms are the smallest atoms in the periodic table. When two hydrogen atoms bond to form H2, their nuclei are very close to each other. This proximity allows for a very strong electrostatic attraction between the positively charged nuclei and the shared pair of electrons.
Because of this intense attraction, the bond dissociation enthalpy of the H−H bond is exceptionally high—in fact, it is the highest for a single bond between any two atoms of the same element, standing at 435.88 kJ mol−1. This makes statement (c) absolutely correct.
Breaking the Unbreakable
Since the H−H bond is so strong, dihydrogen is relatively inert at room temperature
To break this bond and produce atomic hydrogen, we must supply a massive amount of energy. This is typically achieved by subjecting the gas to very high temperatures (like in an electric arc) or by irradiating it with high-energy ultraviolet (UV) light. Thus, statement (a) is also a correct fact.
But how much of it actually breaks apart when heated? If we heat H2 to 2000 K, the thermal energy is still not enough to cause widespread dissociation. At this temperature, only about 0.081% of the molecules dissociate into atoms. You have to push the temperature up to around 5000 K to see a significant dissociation of about 95.5%. Statement (b) claims the dissociation is 8.1% at 2000 K, which is an overestimation by a factor of 100! Therefore, statement (b) is the incorrect one.
The Amphoteric Nature of Zinc
Finally, let's look at the chemical preparation of hydrogen mentioned in statement (d)
Zinc is a classic example of an amphoteric metal, meaning it can react with both acids and bases.
When zinc reacts with a strong acid like hydrochloric acid (
HCl), it undergoes a single displacement reaction to liberate hydrogen gas:
Zn+2HCl→ZnCl2+H2↑
Similarly, when zinc is treated with a strong aqueous base like sodium hydroxide (
NaOH), it forms a complex salt called sodium zincate and again liberates hydrogen gas:
Zn+2NaOH→Na2ZnO2+H2↑
This confirms that statement (d) is perfectly correct.
Final Conclusion
By systematically evaluating each option against the known chemical and physical properties of hydrogen, we can confidently conclude that statement (b) is the only incorrect statement among the choices provided.