In the formulation of a pudding mix $(100$lb$),$ it is desired that the solids content of the product will be $20\%.$ The product leaving the batch tank has a temperature of $80$F and is preheated to $195$F by direct steam injection, using saturated steam at $220$F followed by heating in a closed system to sterilizing temperatures. There is no further gain or loss of moisture in the rest of process and the product specific heat capacity is $0\mathrm{.}84$ BTU$/$lboF$.$ Calculate the quantity $($mass lb$)$ of the steam. Refer to the English system steam tables for the extraction of values.

$9\mathrm{.}35$lb

$9$lb

$8\mathrm{.}75$lb

$7\mathrm{.}85$lb

$9\mathrm{.}75$lb