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The solubility of

\mathrm{KNO_3}

169\ \mathrm{g}

80\ ^{\circ}\mathrm{C}

and

31.6\ \mathrm{g}

20\ ^{\circ}\mathrm{C}

(both per

100\ \mathrm{g}

of water). A saturated

\mathrm{KNO_3}

solution made with

50.0\ \mathrm{g}

of water at

80\ ^{\circ}\mathrm{C}

is cooled to

20\ ^{\circ}\mathrm{C}

(water evaporation is negligible and the crystals contain no water of crystallization). The mass of

\mathrm{KNO_3}

crystallized, as a percentage of the total

\mathrm{KNO_3}

in the original solution (i.e. the recovery), is about ( ).

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