A box with a total surface area of 1.88 m^2

and

a wall thickness of 2.44 cm is made of an insulating material. A 14.1 W electric heater

inside the box maintains the inside temperature at 18.6

◦C above the outside temperature.

Find the thermal conductivity of the insulating material.

Answer in units of W/m ·

◦ C.

Question

Physics

Isai Russell

4 November, 07:52

A box with a total surface area of 1.88 m^2

and

a wall thickness of 2.44 cm is made of an insulating material. A 14.1 W electric heater

inside the box maintains the inside temperature at 18.6

◦C above the outside temperature.

Find the thermal conductivity of the insulating material.

Answer in units of W/m ·

◦ C.

+2

Answers (1)

Know the Answer?

Desirae Grant · Answer 1

Answer:9.8x10^ (-3) w/m°C

Explanation:

Quantity of heat (Q) = 14.1w

Distance (d) = 2.44cm=2.44/100=0.0244m

Area (a) = 1.88m^2

Temperature change (t) = 18.6°C

thermal conductivity (k) = ?

K = (Qxd) ➗ (a x t)

K = (14.1x0.0244) ➗ (1.88x18.6)

K=0.34404 ➗ 34.968

K=9.8x10^ (-3) w/m°C