b$)$ A leak has occurred from a tank containing hexane. The leak is confined

such that it forms a circular pool of $1m$ in diameter. The pool catches fire.

There is a pipe located $3m$ above the surface of the pool. Using the data

below, determine whether the flame could make contact with the pipe.

The mass burning rate of a liquid pool is given by:

$m^{}\text{'}\text{'}=m_{}^{}\text{'}\text{'}(1-$exp$(-kD)),$

Where, for hexane,

$m_{}^{}{?}^{\text{'}\text{'}}=0\mathrm{.}074k\frac{g}{m^2}s,$

$k=1\mathrm{.}9m^{-1}$

$H_c=45M\frac{J}{k}g$

The height of a flame is given by:

$l=0\mathrm{.}23Q_{\text{c}\text{o}\text{n}\text{v}}^{}\frac{2}{5}-1\mathrm{.}02D$

where

$Q_{\text{c}\text{o}\text{n}\text{v}}^{}$ is the heat release rate $(k\frac{J}{s})$

$D$ is the diameter of the liquid pool $($m$).$