A glass flask whose volume is $1000c{m}^3$ at a temperature of $0C$ is completely filled with mercury at the same temperature. When the flask and mercury are warmed together to a temperature of $52\mathrm{.}0C,$ a volume of $8\mathrm{.}25c{m}^3$ of mercury overflows the flask.

Part A

If the coefficient of volume expansion of mercury is ${}_{Hg}=1\mathrm{.}80\frac{{10}^{-4}}{K},$ compute ${}_{\text{g}\text{l}\text{a}\text{s}\text{s}},$ the coefficient of volume expansion of the glass. Express your answer in inverse kelvins.

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