In an Air conditioner compartment of a train if a material of thermal conductivity K and thickness $$10$$ cm is required to fulfill the purpose. To do so there is a need of two glass each of thickness $$1$$ cm with air gap of $$8$$ cm between them. If thermal conductivity of glass and air are $$1$$ $$W/mK$$ and $$0.01$$ $$W/mK$$ then the value of K is:

Question

In an Air conditioner compartment of a train if a material of thermal conductivity K and thickness $$10$$ cm is required to fulfill the purpose.  To do so there is a need of two glass each of thickness $$1$$ cm with air gap of $$8$$ cm between them.  If thermal conductivity of glass and air are $$1$$ $$W/mK$$  and $$0.01$$ $$W/mK$$ then the value of K is:

Infinity Learn · Accepted Answer

Thermal Resistance, $$Rth=LKALKA=L1K1A+L2K2A$$⇒$$10KA=1(1)A+80.01A$$⇒$$K=10800+1$$⇒$$K=0.0125$$

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material