A glass windowpane in a home is $0\mathrm{.}62$ cm thick and has dimensions of $1\mathrm{.}4$ m $$times $1\mathrm{.}9$ m$.$ On a certain day, the indoor temperature is $26$ C and the outdoor temperature is $0$ C$.$ 

 

$($a$)$ What is the rate at which energy is transferred by heat through the glass?

 $($b$)$ How much energy is lost through the window in one day, assuming the temperatures inside and outside remain constant?