Conslider the work done by the gas for the given volume V and pressure P$,$ Assume that the pressure is inversely proportional to the volume. $($See Example $6.)$

A quantity of gas with an initial volume of $2$ cubic feet and a pressure of $1100$ pounds per square foot expands to a volume of $3$ cubic feet.

Find $k,$ the comstant of preportionality.

$k=$

Find the work done. $($Round your answer to two decimal places.$)$

$$

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