Calculate equilibrium moisture content of brinjal seed at relative humidity of 10% and temperature of 50c using Henderson equation where c=6.5×10power-6 n=1.8

The **Henderson equation** is used to estimate the equilibrium moisture content (EMC) of a material at a given relative humidity (RH) and temperature. The Henderson equation is typically given by the form:

\[
\ln(1 - RH) = -c \cdot EMC^n
\]

Where:
- \(RH\) is the relative humidity (in decimal form, so 10% becomes 0.10),
- \(T\) is the temperature (50°C in this case, but not directly involved in this equation),
- \(c\) is a constant specific to the material (given as \(6.5 \times 10^{-6}\)),
- \(n\) is another constant specific to the material (given as 1.8),
- \(EMC\) is the equilibrium moisture content, which we want to calculate.

### Rearranging the equation to solve for \(EMC\):

\[
\ln(1 - RH) = -c \cdot EMC^n
\]
\[
EMC^n = \frac{-\ln(1 - RH)}{c}
\]
\[
EMC = \left(\frac{-\ln(1 - RH)}{c}\right)^{\frac{1}{n}}
\]

### Step-by-Step Calculation:
Given:
- \(RH = 0.10\),
- \(c = 6.5 \times 10^{-6}\),
- \(n = 1.8\),
- \(T = 50°C\) (no direct effect in this equation).

Let's now calculate it step by step.The equilibrium moisture content (EMC) of brinjal seed at a relative humidity of 10% and a temperature of 50°C, using the Henderson equation, is approximately **218.15%**.

Would you like further details or have any questions?

Here are some related questions for further exploration:
1. How does changing the relative humidity affect the equilibrium moisture content?
2. What happens to EMC if the temperature changes, though it doesn't directly affect this equation?
3. How is the Henderson equation adjusted for other types of seeds?
4. What other models can be used to estimate EMC in different conditions?
5. Can you explain how moisture content influences seed storage conditions?

**Tip:** Always ensure the correct units are applied when using moisture content formulas, as variations can lead to significant differences in results.

Learn how to calculate the equilibrium moisture content (EMC) of brinjal seeds at a relative humidity of 10% and a temperature of 50°C using the Henderson equation. This guide provides a step-by-step approach to applying logarithmic and exponential functions in the context of agricultural science.

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