Let the moisture content be m.Thus, rate of moisture loss is given by −dm/dt .
Given; −dm/dt∝m⟹dm/dt=−λm , where λ is a constant.
∫dm/m=−λ∫dt
⟹m=m0e−λt ; where m0 is the initial moisture content at t=0 .
Also given, m0/2=m0e−λ⟹λ=(ln2)hr−1
If 95% moisture is lost at time t; then m=5%(m0)=0.05m0
Thus, 0.05m0=m0e−t∗ln2⟹t=log2(20)=4.322hr.=259.3min.
Hence, the time when it has lost 95% moisture provided the weather conditions remain the same is after 4.322 hours.
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