Boyle temperature and inversion temperature

44 questions on Boyle temperature and inversion temperature from the Real Gases chapter: 10 NEET level, 17 JEE Main, 17 JEE Advanced. Each one opens with its answer and solution.

• The Boyle temperature of a gas is the temperature at which NEET level
• For a van der Waals gas the Boyle temperature T_B and the inversion temperature T_i are related as NEET level
• Hydrogen and helium get warmer when allowed to expand through a porous plug at room temperature because NEET level
• For nitrogen a = 1.39 L^2 atm mol^-2 and b = 0.0391 L mol^-1. Its Boyle temperature in K (nearest integer), using R = 0.0821 L atm K^-1 mol^-1, is JEE Main level
• For a van der Waals gas the ratio of Boyle temperature to critical temperature, T_B/T_c, equals JEE Main level
• The Boyle temperature of a van der Waals gas is 412 K. Which of the following are correct for this gas? JEE Main level
• Two gases X and Y have the same b but a_X = 2a_Y. If the Boyle temperature of Y is 150 K, that of X is JEE Main level
• The Boyle temperature of a gas is 716 K and its van der Waals constant a = 3.59 L^2 atm mol^-2. Taking R = 0.0821 L atm K^-1 mol^-1, the critical volume V_c of ... JEE Advanced level
• Which of the following statements about the Boyle temperature T_B of a van der Waals gas are correct? JEE Advanced level
• A gas has a = 0.034 L^2 atm mol^-2 and b = 0.0237 L mol^-1. Which statement about its behaviour at 298 K is correct? (R = 0.0821 L atm K^-1 mol^-1) JEE Advanced level
• A van der Waals gas is at a temperature exactly equal to its Boyle temperature. At moderate pressure, the compressibility factor is JEE Advanced level
• For a van der Waals gas the Boyle temperature is given by NEET level
• A gas cools when it undergoes Joule-Thomson expansion at a given temperature. This temperature must be NEET level
• Which gas has the lowest inversion temperature among the following? JEE Main level
• For oxygen a = 1.36 L^2 atm mol^-2 and b = 0.0318 L mol^-1. Its inversion temperature T_i = 2a/Rb in K (nearest integer, R = 0.0821 L atm K^-1 mol^-1) is JEE Main level
• Gas X has Boyle temperature 320 K and gas Y has Boyle temperature 110 K. At 200 K and moderate pressure, the correct statement is JEE Main level
• The Boyle temperature of a gas is 433 K and b = 0.0391 L mol^-1. Using T_B = a/Rb and R = 0.0821 L atm K^-1 mol^-1, the constant a in L^2 atm mol^-2 (two decima... JEE Main level
• Which of the following is the correct relation among the critical temperature T_c, Boyle temperature T_B and inversion temperature T_i of a van der Waals gas? JEE Main level
• The critical temperature of oxygen is 154 K. Assuming van der Waals behaviour, its Boyle temperature in K (nearest integer) is JEE Advanced level
• A gas has a = 0.244 L^2 atm mol^-2 and b = 0.0266 L mol^-1 (R = 0.0821 L atm K^-1 mol^-1). Which statements are correct? JEE Advanced level
• For liquefying hydrogen by the Linde process the gas must first be pre-cooled with liquid nitrogen. The reason is that JEE Advanced level
• Which statements correctly describe the Joule-Thomson effect for a real gas? JEE Advanced level
• At the Boyle temperature a real gas NEET level
• The inversion temperature of a gas is the temperature NEET level
• Assertion (A): Nitrogen cools when expanded through a throttle at room temperature. Reason (R): The inversion temperature of nitrogen is about 621 K, well above... NEET level
• For CO2, a = 0.364 Pa m^6 mol^-2 and b = 4.27 x 10^-5 m^3 mol^-1. Its Boyle temperature in K (nearest integer, R = 8.314 J K^-1 mol^-1) is JEE Main level
• A gas has Boyle temperature T_B. The initial slope of its Z versus P isotherm is JEE Main level
• For a van der Waals gas, the ratio of inversion temperature to critical temperature, T_i/T_c, to two decimals is JEE Main level
• Two gases have the same van der Waals constant a but gas M has b twice that of gas N. The ratio of their Boyle temperatures T_B(M) / T_B(N) is JEE Main level
• For methane (a = 2.25 L^2 atm mol^-2, b = 0.0428 L mol^-1, R = 0.0821 L atm K^-1 mol^-1) find the temperature in K (nearest integer) at which the attraction ter... JEE Advanced level
• Gas P has T_B = 110 K and gas Q has T_B = 715 K. Both are examined at 300 K. Which statements are correct? JEE Advanced level
• Assertion (A): For a van der Waals gas the Boyle temperature is always higher than the critical temperature. Reason (R): T_B/T_c = 27/8 for any van der Waals ga... JEE Advanced level
• Which statements about the Boyle temperature are correct? JEE Advanced level
• Above its Boyle temperature a gas shows NEET level
• The Joule-Thomson effect refers to NEET level
• Which of the following is the correct expression for the inversion temperature of a van der Waals gas? JEE Main level
• The Boyle temperature of nitrogen calculated from its van der Waals constants is 433 K. The corresponding critical temperature in K (one decimal) is JEE Main level
• Which of the following gases must be cooled below room temperature before it will cool further on Joule-Thomson expansion? JEE Main level
• For helium a = 3.46 x 10^-3 Pa m^6 mol^-2 and b = 2.38 x 10^-5 m^3 mol^-1. Its Boyle temperature in K (one decimal, R = 8.314 J K^-1 mol^-1) is JEE Main level
• Assertion (A): The inversion temperature of a van der Waals gas is twice its Boyle temperature. Reason (R): Both temperatures are proportional to a/b for a give... JEE Advanced level
• The inversion temperature of a gas is 1030 K and its van der Waals constant a = 0.364 Pa m^6 mol^-2. Using T_i = 2a/Rb and R = 8.314 J K^-1 mol^-1, the value of... JEE Advanced level
• For a van der Waals gas at low pressure the Joule-Thomson coefficient is mu = (1)/(C_p)((2a)/(RT) - b). Which statements are correct? JEE Advanced level
• A gas has T_c = 150 K. Assuming van der Waals behaviour, at which of the following temperatures will the gas both cool on Joule-Thomson expansion and show Z gre... JEE Advanced level
• The Boyle temperatures of three gases are: P, 23 K; Q, 110 K; R, 715 K. Which statements are correct regarding their behaviour at 200 K? JEE Advanced level