The following tasks of studying and installations of plumbing and heating for the gym should be performed:

$1-$ In order to check on how effectively insulated the sauna wall and maintain the required temperature you have been informed to determine heat transfer through Sauna wall according to the following information:

a$)$ If the sauna wall with an area $20$ m$2$ is made up of four layers, on the inside is plaster $15$ mm thick, then there is brick $100$ mm thick, then insulation $60$mm thick and finally brick $100$ mm brick.

b$)$ The thermal conductivity of plaster is $0\mathrm{.}1$ w$/$m$.$k$.$

c$)$ The thermal conductivity brick is $0\mathrm{.}6$w$/$mk $.$

d$)$ The thermal conductivity the insulate is $0\mathrm{.}08$w$/$wk $.$

e$)$ In the gym the best temperature for physical activity is $22\backslash$deg C

f$)$ The temperature outside in the worst conditions in winter is $0\backslash$deg C