{"id":87059,"date":"2025-06-01T04:27:15","date_gmt":"2025-06-01T04:27:15","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87059"},"modified":"2025-06-01T04:27:15","modified_gmt":"2025-06-01T04:27:15","slug":"when-the-temperature-of-a-gas-increases-the-average-speed-of-its","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/when-the-temperature-of-a-gas-increases-the-average-speed-of-its\/","title":{"rendered":"When the temperature of a gas increases, the average speed of its"},"content":{"rendered":"

When the temperature of a gas increases, the average speed of its molecules<\/p>\n

[amp_mcq option1=”remains the same” option2=”decreases” option3=”increases” option4=”either increases or decreases depending on the gas” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC Geoscientist – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is C) increases.
\n<\/section>\n
\nAccording to the kinetic theory of gases, the absolute temperature of an ideal gas is directly proportional to the average kinetic energy of its molecules. Kinetic energy is given by the formula $KE = \\frac{1}{2}mv^2$, where $m$ is the mass of a molecule and $v$ is its speed. As temperature increases, the average kinetic energy of the molecules increases. Since the mass of the molecules remains constant, an increase in average kinetic energy implies an increase in the average value of $v^2$. The average speed of the molecules is related to the average of the square of the speed (root-mean-square speed), and both increase with increasing temperature.
\n<\/section>\n
\nThe root-mean-square speed ($v_{rms}$) of gas molecules is given by the formula $v_{rms} = \\sqrt{\\frac{3kT}{m}}$, where $k$ is the Boltzmann constant, $T$ is the absolute temperature, and $m$ is the mass of a molecule. This formula clearly shows that the average speed of gas molecules increases with the square root of the absolute temperature. Therefore, as the temperature of a gas increases, the average speed of its molecules also increases.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

When the temperature of a gas increases, the average speed of its molecules [amp_mcq option1=”remains the same” option2=”decreases” option3=”increases” option4=”either increases or decreases depending on the gas” correct=”option3″] This question was previously asked in UPSC Geoscientist – 2023 Download PDFAttempt Online The correct answer is C) increases. According to the kinetic theory of gases, the … <\/p>\n

Detailed SolutionWhen the temperature of a gas increases, the average speed of its<\/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":[1091],"tags":[1105,1130,1128],"class_list":["post-87059","post","type-post","status-publish","format-standard","hentry","category-upsc-geoscientist","tag-1105","tag-heat-and-thermodynamics","tag-physics","no-featured-image-padding"],"yoast_head":"\nWhen the temperature of a gas increases, the average speed of its<\/title>\n<meta name=\"description\" content=\"The correct answer is C) increases. According to the kinetic theory of gases, the absolute temperature of an ideal gas is directly proportional to the average kinetic energy of its molecules. Kinetic energy is given by the formula $KE = frac{1}{2}mv^2$, where $m$ is the mass of a molecule and $v$ is its speed. As temperature increases, the average kinetic energy of the molecules increases. Since the mass of the molecules remains constant, an increase in average kinetic energy implies an increase in the average value of $v^2$. The average speed of the molecules is related to the average of the square of the speed (root-mean-square speed), and both increase with increasing temperature.\" \/>\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\/when-the-temperature-of-a-gas-increases-the-average-speed-of-its\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"When the temperature of a gas increases, the average speed of its\" \/>\n<meta property=\"og:description\" content=\"The correct answer is C) increases. According to the kinetic theory of gases, the absolute temperature of an ideal gas is directly proportional to the average kinetic energy of its molecules. Kinetic energy is given by the formula $KE = frac{1}{2}mv^2$, where $m$ is the mass of a molecule and $v$ is its speed. As temperature increases, the average kinetic energy of the molecules increases. Since the mass of the molecules remains constant, an increase in average kinetic energy implies an increase in the average value of $v^2$. The average speed of the molecules is related to the average of the square of the speed (root-mean-square speed), and both increase with increasing temperature.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/when-the-temperature-of-a-gas-increases-the-average-speed-of-its\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T04:27:15+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=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"When the temperature of a gas increases, the average speed of its","description":"The correct answer is C) increases. According to the kinetic theory of gases, the absolute temperature of an ideal gas is directly proportional to the average kinetic energy of its molecules. Kinetic energy is given by the formula $KE = frac{1}{2}mv^2$, where $m$ is the mass of a molecule and $v$ is its speed. As temperature increases, the average kinetic energy of the molecules increases. Since the mass of the molecules remains constant, an increase in average kinetic energy implies an increase in the average value of $v^2$. The average speed of the molecules is related to the average of the square of the speed (root-mean-square speed), and both increase with increasing temperature.","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\/when-the-temperature-of-a-gas-increases-the-average-speed-of-its\/","og_locale":"en_US","og_type":"article","og_title":"When the temperature of a gas increases, the average speed of its","og_description":"The correct answer is C) increases. According to the kinetic theory of gases, the absolute temperature of an ideal gas is directly proportional to the average kinetic energy of its molecules. Kinetic energy is given by the formula $KE = frac{1}{2}mv^2$, where $m$ is the mass of a molecule and $v$ is its speed. As temperature increases, the average kinetic energy of the molecules increases. 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The average speed of the molecules is related to the average of the square of the speed (root-mean-square speed), and both increase with increasing temperature.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/when-the-temperature-of-a-gas-increases-the-average-speed-of-its\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T04:27:15+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/when-the-temperature-of-a-gas-increases-the-average-speed-of-its\/","url":"https:\/\/exam.pscnotes.com\/mcq\/when-the-temperature-of-a-gas-increases-the-average-speed-of-its\/","name":"When the temperature of a gas increases, the average speed of its","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T04:27:15+00:00","dateModified":"2025-06-01T04:27:15+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is C) increases. According to the kinetic theory of gases, the absolute temperature of an ideal gas is directly proportional to the average kinetic energy of its molecules. Kinetic energy is given by the formula $KE = \\frac{1}{2}mv^2$, where $m$ is the mass of a molecule and $v$ is its speed. As temperature increases, the average kinetic energy of the molecules increases. Since the mass of the molecules remains constant, an increase in average kinetic energy implies an increase in the average value of $v^2$. 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