Current Attempt in Progress

A copper sheet of thickness $2L=2mm$ has an initial temperature of $T_i=120C.$ It is suddenly quenched in liquid water, resulting in

boiling at its two surfaces. For boiling, Newton's law of cooling is expressed as $q^{\text{'}\text{'}}=h(T_s-T_{\text{s}\text{a}\text{t}}),$ where $T_s$ is the solid surface

temperature and $T_{\text{s}\text{a}\text{t}}$ is the saturation temperature of the fluid $($in this case $T_{\text{s}\text{a}\text{t}}=100C).$ The convection heat transfer coefficient

may be expressed as $h=1010\frac{W}{m^2}*K^3(T-T_{\text{s}\text{a}\text{t}}{)}^2.$ Determine the time needed for the sheet to reach a temperature of $T=$

$103C$

The time needed for the sheet to reach a temperature of $103C$ is

S$.$

Physical Properties Mathematical Functions