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X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure.  The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is first
observed at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.
Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)
  • a)
    Larger mean free path for X as compared to that of Y
  • b)
    Larger mean free path for Y as compared to that of X
  • c)
    Increased collision frequency of Y with the inert gas as compared to that of X with the inert gas
  • d)
    Increased collision frequency of X with the inert gas as compared to that of Y with the inert gas
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
X and Y are two volatile liquids with molar weights of 10 g mol–...
The general formula of mean free path (λ) is
(d = diameter of molecule, p = pressure inside the vessel) Since d and p are same for both gases, ideally their l are same. Hence it must be the higher drift speed of X due to which it is facing more collisions per second with the inert gas in comparison to gas Y. Hence X faces more resistance from inert gas than Y and hence covers lesser distance than that predicted by Graham’s law.
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The atmospheric lapse rateFor small volumes of gas, according to kinetic theory of gases, all parts of the gas are at the same temperature. But for huge volumes of gas like atmosphere, assumption of a uniform temperature throughout the gas is not valid. Different parts of the atmosphere are at different temperatures. Apart from the surface of the earth, variations also occur in temperature at different heights in the atmosphere.The decrease in temperature with height called the atmospheric lapse rate is similar at various locations across the surface of the Earth. By analyzing the data collected at various locations, it is found that average global lapse rate is – 6.7 °C/Km.The linear decrease with temperature only occurs in the lower part of the atmosphere called the troposphere. This is the part of the atmosphere in which weather occurs and our planes fly. Above the troposphere is the stratosphere, with an imaginary boundary separating the two layers. In the stratosphere, temperature tends to be relatively constant.Absorption of sunlight at the Earth’s surface warms the troposphere from below, so vertical convection currents are continually mixing in the air. As a parcel of air rises, its pressure drops and it expands. The parcel does work on its surrounding, so that its internal energy and therefore, its temperature drops. Assume that the vertical mixing is so rapid as to be adiabatic and the quantityTP(1 – λ)/λ has a uniform value through the layers of troposphere.(M is molecular mass of the air, R is universal gas constant, g is gravitational acc., P and T are pressure and temperature respectively at the point under consideration and y is height.)Q. The value of theoretical lapse rate on the earth is (use g = 9.8 m/s2 ; R = 8.3 J/mol-k and M = 29 g/mol)

The atmospheric lapse rateFor small volumes of gas, according to kinetic theory of gases, all parts of the gas are at the same temperature. But for huge volumes of gas like atmosphere, assumption of a uniform temperature throughout the gas is not valid. Different parts of the atmosphere are at different temperatures. Apart from the surface of the earth, variations also occur in temperature at different heights in the atmosphere.The decrease in temperature with height called the atmospheric lapse rate is similar at various locations across the surface of the Earth. By analyzing the data collected at various locations, it is found that average global lapse rate is – 6.7 °C/Km.The linear decrease with temperature only occurs in the lower part of the atmosphere called the troposphere. This is the part of the atmosphere in which weather occurs and our planes fly. Above the troposphere is the stratosphere, with an imaginary boundary separating the two layers. In the stratosphere, temperature tends to be relatively constant.Absorption of sunlight at the Earth’s surface warms the troposphere from below, so vertical convection currents are continually mixing in the air. As a parcel of air rises, its pressure drops and it expands. The parcel does work on its surrounding, so that its internal energy and therefore, its temperature drops. Assume that the vertical mixing is so rapid as to be adiabatic and the quantityTP(1 – λ)/λ has a uniform value through the layers of troposphere.(M is molecular mass of the air, R is universal gas constant, g is gravitational acc., P and T are pressure and temperature respectively at the point under consideration and y is height.)Q. Mechanical equilibrium of the atmosphere requires that the pressure decreases with altitude according to . Assuming free fall acceleration to be uniform, then lapse rate is given by

The atmospheric lapse rateFor small volumes of gas, according to kinetic theory of gases, all parts of the gas are at the same temperature. But for huge volumes of gas like atmosphere, assumption of a uniform temperature throughout the gas is not valid. Different parts of the atmosphere are at different temperatures. Apart from the surface of the earth, variations also occur in temperature at different heights in the atmosphere.The decrease in temperature with height called the atmospheric lapse rate is similar at various locations across the surface of the Earth. By analyzing the data collected at various locations, it is found that average global lapse rate is – 6.7 °C/Km.The linear decrease with temperature only occurs in the lower part of the atmosphere called the troposphere. This is the part of the atmosphere in which weather occurs and our planes fly. Above the troposphere is the stratosphere, with an imaginary boundary separating the two layers. In the stratosphere, temperature tends to be relatively constant.Absorption of sunlight at the Earth’s surface warms the troposphere from below, so vertical convection currents are continually mixing in the air. As a parcel of air rises, its pressure drops and it expands. The parcel does work on its surrounding, so that its internal energy and therefore, its temperature drops. Assume that the vertical mixing is so rapid as to be adiabatic and the quantityTP(1 – λ)/λ has a uniform value through the layers of troposphere.(M is molecular mass of the air, R is universal gas constant, g is gravitational acc., P and T are pressure and temperature respectively at the point under consideration and y is height.)Q. If behaviour of the mixing of parcels of air is approximately assumed to be adiabatic then lapse rate can be expressed as

X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer?
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X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer?.
Solutions for X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice X and Y are two volatile liquids with molar weights of 10 g mol–1 and 40 g mol–1 respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is firstobserved at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.Q. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This is due to (JEE Adv. 2014)a)Larger mean free path for X as compared to that of Yb)Larger mean free path for Y as compared to that of Xc)Increased collision frequency of Y with the inert gas as compared to that of X with the inert gasd)Increased collision frequency of X with the inert gas as compared to that of Y with the inert gasCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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