Question

1. What is the equation of state for a perfect gas at low pressure?

2. Under which conditions are Boyle's law, Charles' law, and Avogadro's principle valid?

3. Consider two perfect gases at low pressure, A and B. A and B have different chemical identities, but the number of moles of the two gases is the same. Would a plot of the pV isotherm at T=298K be different for the two gases? If so, explain how the plots would differ. If not, explain why.

Answer 1

1. Ideal gas law is obeyed at low pressure and high temperatures. Hence PV= nRT is the equation of state

2. Under low pressures and high temperatures ther laws are obeyed.

Boyles law states that P is inversly proportional to volume for a given mass of gas at a given temperature)

Mathematically PV= constant . this is obeyed without accounting the interaction between molecules of gas which is true at low pressure and high temperatures where molecules are far apart.

Similarly charless law as well as Avagadros law also

3. Since PV= nRT

n and T are constant ( same for both gases ) and R is gas constant and PV= same for both gases. The plot would not be different.