Final answer:
To calculate the value of Kp for the given reaction, use the equation Kp = Kc(RT)Δn and plug in the given Kc, the ideal gas constant R, the converted temperature in Kelvin, and the change in moles of gas (Δn).
Step-by-step explanation:
To calculate the value of Kp for the reaction 2a(g) + 3b(g) ⇌ c(g), we can use the relation between Kc and Kp which is given by the equation Kp = Kc(RT)Δn, where R is the ideal gas constant, T is the temperature in Kelvin, and Δn is the change in the number of moles of gas.
First, we must convert the given temperature of 395 °C to Kelvin by adding 273.15, which gives us 668.15 K. The change in moles of gas (Δn) is the difference in moles of gaseous products and reactants, which in this case is 1 - 5 = -4. Using the ideal gas constant R = 0.0821 L·atm/(K·mol), we can calculate Kp.
Substituting into the equation, we get:
Kp = Kc(RT)Δn = 82.8 × (0.0821 × 668.15)⁴
Now, simply calculate the value for Kp using the provided values.