The Gaseous State

Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg m^–3 and R = 0.083 bar dm³ K^–1 mol^–1).

Isotherms of carbon dioxide at various temperatures are represented in figure. Answer the following questions based on this figure.

(i) In which state will \[\ce{CO2}\] exist between the points a and b at temperature T₁?

(ii) At what point will \[\ce{CO2}\] start liquefying when temperature is T₁?

(iii) At what point will \[\ce{CO2}\] be completely liquefied when temperature is T₂.

(iv) Will condensation take place when the temperature is T₃.

(v) What portion of the isotherm at T₁ represent liquid and gaseous \[\ce{CO2}\] at equilibrium?

Using the equation of state pV = nRT; show that at a given temperature density of a gas is proportional to gas pressure p.

A vessel of 120 mL capacity contains a certain amount of gas at 35 °C and 1.2 bar pressure. The gas is transferred to another vessel of volume 180 mL at 35 °C. What would be its pressure?

Gases deviate from ideal behavior at high pressure. Which of the following statement(s) is correct for non-ideality?

What will be the pressure of the gaseous mixture when 0.5 L of H₂ at 0.8 bar and 2.0 L of dioxygen at 0.7 bar are introduced in a 1L vessel at 27°C?

With regard to the gaseous state of matter which of the following statements are correct?

(i) Complete order of molecules

(ii) Complete disorder of molecules

(iii) Random motion of molecules

(iv) Fixed position of molecules