If moisture content of solid on dry basis is X, then the same on wet basis is

ANS:A -

To convert the moisture content of a solid from dry basis to wet basis, you need to consider the weight of the moisture as a percentage of the wet weight of the solid. Let's denote:

• 𝑋𝑑Xd​ as the moisture content on a dry basis (percentage of moisture in the dry solid).
• 𝑋𝑤Xw​ as the moisture content on a wet basis (percentage of moisture in the wet solid).

On a dry basis, 𝑋𝑑Xd​ is defined as the weight of the moisture divided by the weight of the dry solid: 𝑋𝑑=Weight of moistureWeight of dry solid×100Xd​=Weight of dry solidWeight of moisture​×100 On a wet basis, 𝑋𝑤Xw​ is defined as the weight of the moisture divided by the weight of the wet solid: 𝑋𝑤=Weight of moistureWeight of wet solid×100Xw​=Weight of wet solidWeight of moisture​×100 Now, let's express the weight of the wet solid in terms of the weight of the dry solid and the weight of the moisture: Weight of wet solid=Weight of dry solid+Weight of moistureWeight of wet solid=Weight of dry solid+Weight of moisture Substituting this expression into the equation for 𝑋𝑤Xw​: 𝑋𝑤=Weight of moistureWeight of dry solid+Weight of moisture×100Xw​=Weight of dry solid+Weight of moistureWeight of moisture​×100 So, the moisture content on a wet basis is the weight of the moisture divided by the sum of the weight of the dry solid and the weight of the moisture, multiplied by 100.