Question

If an osmo-dehydrated fruit slice has 72% moisture content on wet basis, the moisture content of the same fruit slice on dry basis in percent is _____. \(\textit{[Round off to one decimal place]}\)

Hint:

To convert moisture content from wet basis to dry basis, divide the moisture content on wet basis by the difference between 1 and the wet moisture content.

Answer 1

Correct Answer: 256.5

The moisture content on the dry basis \( X_{\text{dry}} \) can be calculated using the formula: \[ X_{\text{dry}} = \frac{X_{\text{wet}}}{1 - X_{\text{wet}}} \] where:
- \( X_{\text{wet}} = 0.72 \) (moisture content on the wet basis).
Substitute the given value into the formula: \[ X_{\text{dry}} = \frac{0.72}{1 - 0.72} = \frac{0.72}{0.28} \approx 2.57. \] Thus, the moisture content on dry basis is approximately \( \boxed{2.6} \, \text{%} \) (rounded to one decimal place).