The reaction $AB(aq)A(g)+B(g)$ is second order in $AB$ and has a rate constant of $0\mathrm{.}0155L*mo{l}^{-1}*s^{-1}$ at $25\mathrm{.}0C.$ A reaction vessel initially contains $250\mathrm{.}0mL$ of $0\mathrm{.}182$mol$*L^{-1}AB$ which is allowed to react to form the gaseous product. The product is collected over water at $25\mathrm{.}0C.$

Part A

How much time is required to produce $189\mathrm{.}0mL$ of the products at a barometric pressure of $730\mathrm{.}3mmHg.$ Assume that the gaseous products include $A(g),B(g),$ and water vapor from the aqueous solution. $($The vapor pressure of water at this temperature is $23\mathrm{.}8mmHg.)$

Express your answer to two significant figures and include the appropriate units.

$t=$