The formula to calculate the lime application rate (LAR) is:
\[ LAR = \frac{SR \cdot TR \cdot 100}{PR \cdot LR} \]
Where:
Let's say the soil test recommendation (SR) is 5, the target rate (TR) is 2, the purity of the lime (PR) is 90, and the lime reaction factor (LR) is 0.8. Using the formula:
\[ LAR = \frac{5 \cdot 2 \cdot 100}{90 \cdot 0.8} \]
We get:
\[ LAR = \frac{1000}{72} \approx 13.89 \]
So, the lime application rate is approximately 13.89.