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The rate of drying (in kg/h) is

  • A.128.79
  • B.126.35
  • C.77.81
  • D.0.0485

Answer: D

The drying rate is about 0.0485 kg/h.

The dry solids are 650 - 405 = 245 g. At 6.8% moisture on a dry basis the final product holds

\[ \begin{aligned} m_{w,final} &= 0.068 \times 245 = 16.66\ \text{g} \\ \text{water removed} &= 405 - 16.66 = 388.3\ \text{g} \\ \text{rate} &= \frac{388.3}{8} = 48.5\ \text{g/h} = 0.0485\ \text{kg/h} \end{aligned} \]

Since drying is entirely in the constant-rate period, the average rate equals the constant rate. The large options, such as 128.79 and 126.35 kg/h, are far too high for a 650 g sample dried over 8 h, and 77.81 does not follow from the mass balance either.

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