According to the van 't Hoff equation:
log10Kp=−2.303RΔH∘(T1)+2.303RΔS∘
This represents a linear equation y=mx+c, where y=log10Kp and x=T1. The slope m of the line is given by:
m=−2.303RΔH∘
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=x2−x1y2−y1=0.06−0.052.5−3.5=0.01−1.0=−100
Equating the calculated slope to the theoretical slope:
−2.303RΔH∘=−100
RΔH∘=100×2.303=230.3
The magnitude of RΔH∘ is 230.3. Rounding to the nearest integer, we get 230.
Answer: 230