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A tank is filled at 10 litres per minute and drained at 4 litres per minute. At what rate does its contents accumulate?

  • A.14 litres per minute
  • B.2.5 litres per minute
  • C.4 litres per minute
  • D.6 litres per minute

Answer: D

Correct answer: 6 litres per minute

\[ \frac{\mathrm{d}V}{\mathrm{d}t} = \dot{V}_{in} - \dot{V}_{out} = 10 - 4 = 6\ \mathrm{L/min}. \] Accumulation is what is left over when the outflow is subtracted from the inflow, and a positive value means the tank is filling. Adding the two rates gives the 14 offered, which would describe two streams entering rather than one entering and one leaving.

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