A wall is built of two metals (stainless steel and lead) that are in thermal contact with each other. If the temperature difference across the steel plate is 17.79 K and the plates are 1.471 cm (steel) and 2.416 cm (lead) thick, what is the temperature difference across the entire wall? K

entire wall temperature difference = 29.29 K

Explanation:

given data

temperature difference steel ΔT = 17.79 K

steel L = 1.471 cm

lead L = 2.416 cm

to find out

temperature difference across wall

solution

we know that here heat transfer by steel and lead are same

and

heat transfer = k*A*ΔT / L ... 1

so

H (lead) = H (steel)

k*A*ΔT / L = k*A*ΔT / L ... 2

here we know

k for steel = 14.4 W/mK

k for lead = 36.6 W/mK

so put here all value in equation 2

k*ΔT / L = k*ΔT / L

36.6*ΔT / 2.416 = 14.4*17.79 / 1.471

ΔT = 11.50 K

so

entire wall temperature difference = 11.50 + 17.79

entire wall temperature difference = 29.29 K