Final answer:
The change in the number of moles of gas (Δn) for the reaction 2 NCl3(g) ⇌ N2(g) + 3 Cl2(g) is 2. As a result, Kp can be calculated from Kc at a certain temperature using the expression Kp = Kc (RT)^2.
Step-by-step explanation:
The question pertains to the relationship between the equilibrium constants Kp and Kc for a given chemical reaction. Here, the reaction is 2 NCl3(g) ⇌ N2(g) + 3 Cl2(g). The change in the number of moles of gas (Δn) is essential in the conversion between Kp and Kc. To find Δn, we subtract the sum of the coefficients of gaseous reactants from the sum of the coefficients of gaseous products.
Δn for the reaction is calculated as:
(number of moles of N2 + number of moles of Cl2) - (number of moles of NCl3)
= (1 + 3) - (2 * 1)
= 4 - 2
= 2.
Hence, the Kp can be calculated at a particular temperature using the expression: Kp = Kc (RT)^{Δn}
= Kc (RT)2.