Question

Derive an expression for coefficient of thermal conductivity of gas

Answer 1

The following is the expression for coefficient of thermal conductivity of gas is:

$\frac{dQ}{dt}$ = k A $\frac{dT}{dx}$

Explanation:

Thermal conductivity of gas is the ability of a material to conduct heat and it is similar to electric conductivity with the only difference being the entity is heat and not electricity.

It is given by following formula:

$\frac{dQ}{dt} = k A \frac{dT}{dx}$

So here,

Q = Heat Supplied

t = time

T = Temperature

k = Thermal conductivity

A = Area of cross section of the material

x = Thickness of the material

$\angleABC$$\frac{dQ}{dt} =$ Rate of heat conduction

$\frac{dT}{dx} =$ Temperature gradient