The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below A(g) B(g) + C(g) 1 T ( K ⁻¹) ₁₀ K_p 0.05 3.5 0.06 2.5 0.07 1.5 The magnitude of H° R calculated from the above data is _____. (Nearest integer)

Step-by-step solution

According to the van 't Hoff equation: ₁₀ K_p = - H^ 2.303 R ( 1 T ) + S^ 2.303 R This represents a linear equation y = mx + c , where y = ₁₀ K_p and x = 1 T . The slope m of the line is given by: m = - H^ 2.303 R From the given data table, we can calculate the slope m using any two points, for example (0.05, 3.5) and (0.06, 2.5) : m = y₂ - y₁ x₂ - x₁ = 2.5 - 3.5 0.06 - 0.05 = -1.0 0.01 = -100 Equating the calculated slope to the theoretical slope: - H^ 2.303 R = -100 H^ R = 100 2.303 = 230.3 The magnitude of H^ R