{"id":88286,"date":"2025-06-01T07:07:08","date_gmt":"2025-06-01T07:07:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88286"},"modified":"2025-06-01T07:07:08","modified_gmt":"2025-06-01T07:07:08","slug":"if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1\/","title":{"rendered":"If we plot a graph between volume V and inverse of pressure P (i.e., 1"},"content":{"rendered":"

If we plot a graph between volume V and inverse of pressure P (i.e., 1\/P) for an ideal gas at constant temperature T, the curve so obtained is:<\/p>\n

[amp_mcq option1=”straight line” option2=”circle” option3=”parabola” option4=”hyperbola” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-2 – 2016<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nA graph between volume V and inverse of pressure (1\/P) for an ideal gas at constant temperature T is a straight line.
\n<\/section>\n
\nAccording to the Ideal Gas Law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. For a fixed amount of gas (n is constant) at a constant temperature (T is constant), the product nRT is a constant. Let’s call this constant C. So, PV = C (This is Boyle’s Law). We want to plot V against 1\/P. Rearranging the equation, we get V = C * (1\/P). If we let Y = V and X = 1\/P, the equation becomes Y = CX. This is the equation of a straight line passing through the origin with slope C (which is equal to nRT).
\n<\/section>\n
\nPlotting V versus P directly would yield a hyperbola (PV = C). A parabola is typically associated with quadratic relationships, and a circle with relationships involving the sum of squares.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

If we plot a graph between volume V and inverse of pressure P (i.e., 1\/P) for an ideal gas at constant temperature T, the curve so obtained is: [amp_mcq option1=”straight line” option2=”circle” option3=”parabola” option4=”hyperbola” correct=”option1″] This question was previously asked in UPSC NDA-2 – 2016 Download PDFAttempt Online A graph between volume V and inverse … <\/p>\n

Detailed SolutionIf we plot a graph between volume V and inverse of pressure P (i.e., 1<\/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":[1094],"tags":[1098,1130,1128],"class_list":["post-88286","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1098","tag-heat-and-thermodynamics","tag-physics","no-featured-image-padding"],"yoast_head":"\nIf we plot a graph between volume V and inverse of pressure P (i.e., 1<\/title>\n<meta name=\"description\" content=\"A graph between volume V and inverse of pressure (1\/P) for an ideal gas at constant temperature T is a straight line. According to the Ideal Gas Law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. For a fixed amount of gas (n is constant) at a constant temperature (T is constant), the product nRT is a constant. Let's call this constant C. So, PV = C (This is Boyle's Law). We want to plot V against 1\/P. Rearranging the equation, we get V = C * (1\/P). If we let Y = V and X = 1\/P, the equation becomes Y = CX. This is the equation of a straight line passing through the origin with slope C (which is equal to nRT).\" \/>\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\/if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If we plot a graph between volume V and inverse of pressure P (i.e., 1\" \/>\n<meta property=\"og:description\" content=\"A graph between volume V and inverse of pressure (1\/P) for an ideal gas at constant temperature T is a straight line. According to the Ideal Gas Law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. For a fixed amount of gas (n is constant) at a constant temperature (T is constant), the product nRT is a constant. Let's call this constant C. So, PV = C (This is Boyle's Law). We want to plot V against 1\/P. Rearranging the equation, we get V = C * (1\/P). If we let Y = V and X = 1\/P, the equation becomes Y = CX. This is the equation of a straight line passing through the origin with slope C (which is equal to nRT).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:07:08+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":"If we plot a graph between volume V and inverse of pressure P (i.e., 1","description":"A graph between volume V and inverse of pressure (1\/P) for an ideal gas at constant temperature T is a straight line. According to the Ideal Gas Law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. For a fixed amount of gas (n is constant) at a constant temperature (T is constant), the product nRT is a constant. Let's call this constant C. So, PV = C (This is Boyle's Law). We want to plot V against 1\/P. Rearranging the equation, we get V = C * (1\/P). If we let Y = V and X = 1\/P, the equation becomes Y = CX. This is the equation of a straight line passing through the origin with slope C (which is equal to nRT).","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\/if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1\/","og_locale":"en_US","og_type":"article","og_title":"If we plot a graph between volume V and inverse of pressure P (i.e., 1","og_description":"A graph between volume V and inverse of pressure (1\/P) for an ideal gas at constant temperature T is a straight line. According to the Ideal Gas Law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. For a fixed amount of gas (n is constant) at a constant temperature (T is constant), the product nRT is a constant. Let's call this constant C. So, PV = C (This is Boyle's Law). We want to plot V against 1\/P. Rearranging the equation, we get V = C * (1\/P). If we let Y = V and X = 1\/P, the equation becomes Y = CX. This is the equation of a straight line passing through the origin with slope C (which is equal to nRT).","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:07:08+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\/if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-we-plot-a-graph-between-volume-v-and-inverse-of-pressure-p-i-e-1\/","name":"If we plot a graph between volume V and inverse of pressure P (i.e., 1","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:07:08+00:00","dateModified":"2025-06-01T07:07:08+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"A graph between volume V and inverse of pressure (1\/P) for an ideal gas at constant temperature T is a straight line. According to the Ideal Gas Law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. For a fixed amount of gas (n is constant) at a constant temperature (T is constant), the product nRT is a constant. Let's call this constant C. So, PV = C (This is Boyle's Law). We want to plot V against 1\/P. Rearranging the equation, we get V = C * (1\/P). If we let Y = V and X = 1\/P, the equation becomes Y = CX. 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