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Two packed towers are designed for the same mass velocity of the gas. The first has liquid and gas flow rates of $30\:kg/s$ and $1.2\:kg/s$, respectively, while the corresponding flow rates in the second tower are $67.5\:kg/s$ and $1.8\:kg/s$. The ratio of the design diameter of the wider tower to that of the narrower tower is

  1. $2$
  2. $1.8$
  3. $1.5$
  4. $1.2225$
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