HW$-$ Class room: $5-m$ wide, $10-m$ long and $3-m$ high. And has $2$ windows with size $2\mathrm{.}0$ m by $1\mathrm{.}5$ m $.$ calculate the sensible$,$ latent and total heat gains on the room from the following information. What is the required cooling capacity?

Inside Temperature:

$25C$

Outside Temperature:

$43C$

U$-$value for wall:

$1\mathrm{.}78\frac{W}{m^2}.K$

U$-$value for roof:

$1\mathrm{.}316\frac{W}{m^2}.K$

U$-$value for floor:

$1\mathrm{.}2\frac{W}{m^2}K$

Occupancy: $20$ students $(90$ W sensible heat$/$person$)(40$ W latent heat$/$person$)$

Lighting load: $33\frac{W}{m^2}$ of floor area

Personal Computer load: $20-$PC $(50$ W $)$

Infiltration: $0\mathrm{.}5$ Air Changes per Hour $($sensible heat gain plus $10\%$ latent$)$

Sun radiations load: $500$ W per window glass area

Safety Factor $($SF$)$:

$1\mathrm{.}25$

Required Cooling Capacity $=\frac{\text{T}\text{o}\text{t}\text{a}\text{l}\text{l}\text{o}\text{a}\text{d}in\text{w}\text{a}\text{t}\text{t}SF}{3500},(Tonof$ Refrigeration $TR)$