{"id":84935,"date":"2025-06-01T02:56:28","date_gmt":"2025-06-01T02:56:28","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=84935"},"modified":"2025-06-01T02:56:28","modified_gmt":"2025-06-01T02:56:28","slug":"for-an-ideal-gas-which-one-of-the-following-statements-does-not-hol","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/for-an-ideal-gas-which-one-of-the-following-statements-does-not-hol\/","title":{"rendered":"For an ideal gas, which one of the following statements does not hol"},"content":{"rendered":"

For an ideal gas, which one of the following statements does not<\/b> hold true?<\/p>\n

[amp_mcq option1=”The speed of all gas molecules is same.” option2=”The kinetic energies of all gas molecules are not same.” option3=”The potential energy of the gas molecules is zero.” option4=”There is no interactive force between the molecules.” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-1 – 2019<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nAn ideal gas is a theoretical model with specific assumptions. Let’s evaluate each statement:
\nA) The speed of all gas molecules is same. This is false for an ideal gas. At any given temperature, the speeds of the molecules in an ideal gas follow a distribution (like the Maxwell-Boltzmann distribution), meaning molecules have a wide range of speeds.
\nB) The kinetic energies of all gas molecules are not same. This is true. Since the speeds are not the same (from point A), and kinetic energy is proportional to speed squared ($KE = 1\/2 mv^2$), the kinetic energies of individual molecules are also not the same. The average kinetic energy, however, is directly proportional to the absolute temperature.
\nC) The potential energy of the gas molecules is zero. This is true for an ideal gas. A key assumption of the ideal gas model is that there are no intermolecular forces between the molecules. Potential energy due to interparticle interactions is therefore considered zero.
\nD) There is no interactive force between the molecules. This is true. This is another fundamental assumption of the ideal gas model, simplifying calculations by ignoring attractions and repulsions.
\nThe question asks which statement does *not* hold true for an ideal gas. Statement A is the one that is false for an ideal gas.
\n<\/section>\n
\n– Ideal gas molecules have a distribution of speeds and kinetic energies.
\n– Ideal gas molecules have no intermolecular forces.
\n– Potential energy due to intermolecular forces is zero in an ideal gas.
\n<\/section>\n
\nReal gases deviate from ideal gas behavior, especially at high pressures and low temperatures, where intermolecular forces and the volume of the molecules themselves become significant. The ideal gas law (PV=nRT) is derived based on these ideal gas assumptions.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

For an ideal gas, which one of the following statements does not hold true? [amp_mcq option1=”The speed of all gas molecules is same.” option2=”The kinetic energies of all gas molecules are not same.” option3=”The potential energy of the gas molecules is zero.” option4=”There is no interactive force between the molecules.” correct=”option1″] This question was previously … <\/p>\n

Detailed SolutionFor an ideal gas, which one of the following statements does not hol<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1087],"tags":[1119,1130,1128],"class_list":["post-84935","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-1","tag-1119","tag-heat-and-thermodynamics","tag-physics","no-featured-image-padding"],"yoast_head":"\nFor an ideal gas, which one of the following statements does not hol<\/title>\n<meta name=\"description\" content=\"An ideal gas is a theoretical model with specific assumptions. Let's evaluate each statement: A) The speed of all gas molecules is same. This is false for an ideal gas. At any given temperature, the speeds of the molecules in an ideal gas follow a distribution (like the Maxwell-Boltzmann distribution), meaning molecules have a wide range of speeds. B) The kinetic energies of all gas molecules are not same. This is true. Since the speeds are not the same (from point A), and kinetic energy is proportional to speed squared ($KE = 1\/2 mv^2$), the kinetic energies of individual molecules are also not the same. The average kinetic energy, however, is directly proportional to the absolute temperature. C) The potential energy of the gas molecules is zero. This is true for an ideal gas. A key assumption of the ideal gas model is that there are no intermolecular forces between the molecules. Potential energy due to interparticle interactions is therefore considered zero. D) There is no interactive force between the molecules. This is true. This is another fundamental assumption of the ideal gas model, simplifying calculations by ignoring attractions and repulsions. The question asks which statement does *not* hold true for an ideal gas. Statement A is the one that is false for an ideal gas. - Ideal gas molecules have a distribution of speeds and kinetic energies. - Ideal gas molecules have no intermolecular forces. - Potential energy due to intermolecular forces is zero in an ideal gas.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/for-an-ideal-gas-which-one-of-the-following-statements-does-not-hol\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"For an ideal gas, which one of the following statements does not hol\" \/>\n<meta property=\"og:description\" content=\"An ideal gas is a theoretical model with specific assumptions. Let's evaluate each statement: A) The speed of all gas molecules is same. This is false for an ideal gas. At any given temperature, the speeds of the molecules in an ideal gas follow a distribution (like the Maxwell-Boltzmann distribution), meaning molecules have a wide range of speeds. B) The kinetic energies of all gas molecules are not same. This is true. Since the speeds are not the same (from point A), and kinetic energy is proportional to speed squared ($KE = 1\/2 mv^2$), the kinetic energies of individual molecules are also not the same. The average kinetic energy, however, is directly proportional to the absolute temperature. C) The potential energy of the gas molecules is zero. This is true for an ideal gas. A key assumption of the ideal gas model is that there are no intermolecular forces between the molecules. Potential energy due to interparticle interactions is therefore considered zero. D) There is no interactive force between the molecules. This is true. This is another fundamental assumption of the ideal gas model, simplifying calculations by ignoring attractions and repulsions. The question asks which statement does *not* hold true for an ideal gas. Statement A is the one that is false for an ideal gas. - Ideal gas molecules have a distribution of speeds and kinetic energies. - Ideal gas molecules have no intermolecular forces. - Potential energy due to intermolecular forces is zero in an ideal gas.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/for-an-ideal-gas-which-one-of-the-following-statements-does-not-hol\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T02:56:28+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"For an ideal gas, which one of the following statements does not hol","description":"An ideal gas is a theoretical model with specific assumptions. Let's evaluate each statement: A) The speed of all gas molecules is same. This is false for an ideal gas. At any given temperature, the speeds of the molecules in an ideal gas follow a distribution (like the Maxwell-Boltzmann distribution), meaning molecules have a wide range of speeds. B) The kinetic energies of all gas molecules are not same. This is true. Since the speeds are not the same (from point A), and kinetic energy is proportional to speed squared ($KE = 1\/2 mv^2$), the kinetic energies of individual molecules are also not the same. The average kinetic energy, however, is directly proportional to the absolute temperature. C) The potential energy of the gas molecules is zero. This is true for an ideal gas. A key assumption of the ideal gas model is that there are no intermolecular forces between the molecules. Potential energy due to interparticle interactions is therefore considered zero. D) There is no interactive force between the molecules. This is true. This is another fundamental assumption of the ideal gas model, simplifying calculations by ignoring attractions and repulsions. The question asks which statement does *not* hold true for an ideal gas. Statement A is the one that is false for an ideal gas. - Ideal gas molecules have a distribution of speeds and kinetic energies. - Ideal gas molecules have no intermolecular forces. - Potential energy due to intermolecular forces is zero in an ideal gas.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/for-an-ideal-gas-which-one-of-the-following-statements-does-not-hol\/","og_locale":"en_US","og_type":"article","og_title":"For an ideal gas, which one of the following statements does not hol","og_description":"An ideal gas is a theoretical model with specific assumptions. Let's evaluate each statement: A) The speed of all gas molecules is same. This is false for an ideal gas. At any given temperature, the speeds of the molecules in an ideal gas follow a distribution (like the Maxwell-Boltzmann distribution), meaning molecules have a wide range of speeds. B) The kinetic energies of all gas molecules are not same. This is true. Since the speeds are not the same (from point A), and kinetic energy is proportional to speed squared ($KE = 1\/2 mv^2$), the kinetic energies of individual molecules are also not the same. The average kinetic energy, however, is directly proportional to the absolute temperature. C) The potential energy of the gas molecules is zero. This is true for an ideal gas. A key assumption of the ideal gas model is that there are no intermolecular forces between the molecules. Potential energy due to interparticle interactions is therefore considered zero. D) There is no interactive force between the molecules. This is true. This is another fundamental assumption of the ideal gas model, simplifying calculations by ignoring attractions and repulsions. The question asks which statement does *not* hold true for an ideal gas. 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