In Haber’s process of manufacture of ammonia, the ‘catalyst’, the ‘promoter’, and‘ poison for the catalyst’ are respectively:
\( Fe, Mo, CO \)
Step 1: Understanding the Haber Process
The Haber process is used for the industrial production of ammonia (\( NH_3 \)) from nitrogen (\( N_2 \)) and hydrogen (\( H_2 \)) under high pressure and temperature. The reaction is: \[ N_2 + 3H_2 \rightleftharpoons 2NH_3 \]
Step 2: Identifying the Catalyst, Promoter, and Poison
- Catalyst: Iron (\( Fe \)) is used as the main catalyst to increase the rate of reaction.
- Promoter: Molybdenum (\( Mo \)) is added as a promoter to enhance the efficiency of iron as a catalyst.
- Poison for the Catalyst: Carbon monoxide (\( CO \)) acts as a poison for the iron catalyst by adsorbing on its active sites and deactivating it.
Step 3: Evaluating the Given Options
- Option (1): Incorrect, as tungsten (\( W \)) is not used in the Haber process.
- Option (2): Incorrect, as cobalt (\( Co \)) is not the main catalyst.
- Option (3): Incorrect, as \( CO_2 \) is not the primary catalyst poison.
- Option (4): Correct, as the correct catalyst is \( Fe \), the promoter is \( Mo \), and the poison is \( CO \).
Thus, the correct answer is
Option (4).
In Bohr model of hydrogen atom, if the difference between the radii of \( n^{th} \) and\( (n+1)^{th} \)orbits is equal to the radius of the \( (n-1)^{th} \) orbit, then the value of \( n \) is:
Given the function:
\[ f(x) = \frac{2x - 3}{3x - 2} \]
and if \( f_n(x) = (f \circ f \circ \ldots \circ f)(x) \) is applied \( n \) times, find \( f_{32}(x) \).
For \( n \in \mathbb{N} \), the largest positive integer that divides \( 81^n + 20n - 1 \) is \( k \). If \( S \) is the sum of all positive divisors of \( k \), then find \( S - k \).
If the real-valued function
\[ f(x) = \sin^{-1}(x^2 - 1) - 3\log_3(3^x - 2) \]is not defined for all \( x \in (-\infty, a] \cup (b, \infty) \), then what is \( 3^a + b^2 \)?