Question

How does the pressrue in a non-relativistic ideal gas vary when the mass density varies adiabatically, assuming that the internal energy density is either

a. mmuch bigger than the pressure

b. equal to the pressure

c. one percent of the pressure

Answer 1

During adiabatic situation, there is no transfer of heat or matter in a thermodynamic system and its surroundings. For ideal gas eauation - PV = nRT

And P = nRT/V

T is constant here.6

Here, P is inversely proprotional to V.

1

. When internal energy density is much bigger than pressure, pressure will be the smaller in the same proportion.

2.

When internal energy density will be equalto pressure it will be a constant value.

3.

When internal energy density will be one percent of pressure, pressure will be 100 times of that value.