{"id":329472,"date":"2023-01-06T01:02:11","date_gmt":"2023-01-05T19:32:11","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-temperature-of-the-two-outer-surfaces-of-a-composite-slab-consisting-of-two-materials-having-coefficients-of-thermal-conductivity-k-and-2k-and-thickness-x-and-4x-respectively-are\/"},"modified":"2025-06-26T18:04:47","modified_gmt":"2025-06-26T12:34:47","slug":"the-temperature-of-the-two-outer-surfaces-of-a-composite-slab-consisting-of-two-materials-having-coefficients-of-thermal-conductivity-k-and-2k-and-thickness-x-and-4x-respectively-are","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-temperature-of-the-two-outer-surfaces-of-a-composite-sla\/","title":{"rendered":"The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity \u00a0K and \u00a02K and thickness x and 4x , respectively, are\u00a0T2\u00a0and \u00a0T1(T2>T1).The rate of heat transfer through the slab, in a steady state is\u00a0A(T2\u2212T1)Kxf,\u00a0with\u00a0f\u00a0 equal to"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity \u00a0K and \u00a02K and thickness x and 4x , respectively, are\u00a0T2\u00a0and \u00a0T1(T2>T1).The rate of heat transfer through the slab, in a steady state is\u00a0A(T2\u2212T1)Kxf,\u00a0with\u00a0f\u00a0 equal to","custom_permalink":"question\/physics\/the-temperature-of-the-two-outer-surfaces-of-a-composite-sla\/"},"categories":[],"acf":{"question":"

The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity  K and  2K and thickness x and 4x , respectively, are T<\/mi>2<\/mn><\/msub><\/math> and  T<\/mi>1<\/mn><\/msub>(<\/mo>T<\/mi>2<\/mn><\/msub>><\/mo>T<\/mi>1<\/mn><\/msub>)<\/mo>.<\/mo><\/math>The rate of heat transfer through the slab, in a steady state is A<\/mi>(<\/mo>T<\/mi>2<\/mn><\/msub>\u2212<\/mo>T<\/mi>1<\/mn><\/msub>)<\/mo>K<\/mi><\/mrow>x<\/mi><\/mfrac><\/mfenced>f<\/mi>,<\/mo><\/math> with f<\/mi><\/math>  equal to<\/p>
<\/figure>","options":[{"option":"

2<\/mn>3<\/mn><\/mfrac><\/math><\/p>","correct":false},{"option":"

1<\/mn>2<\/mn><\/mfrac><\/math><\/p>","correct":false},{"option":"

1<\/p>","correct":false},{"option":"

1<\/mn>3<\/mn><\/mfrac><\/math><\/p>","correct":true}],"solution":"

The thermal resistance is given by 
x<\/mi>K<\/mi>A<\/mi><\/mrow><\/mfrac>+<\/mo>4<\/mn>x<\/mi><\/mrow>2<\/mn>K<\/mi>A<\/mi><\/mrow><\/mfrac>=<\/mo>x<\/mi>K<\/mi>A<\/mi><\/mrow><\/mfrac>+<\/mo>2<\/mn>x<\/mi><\/mrow>K<\/mi>A<\/mi><\/mrow><\/mfrac>=<\/mo>3<\/mn>x<\/mi><\/mrow>K<\/mi>A<\/mi><\/mrow><\/mfrac><\/math>
Amount of heat flow per second,
d<\/mi>Q<\/mi><\/mrow>d<\/mi>t<\/mi><\/mrow><\/mfrac>=<\/mo>\u0394<\/mi>T<\/mi><\/mrow>3<\/mn>x<\/mi><\/mrow>K<\/mi>A<\/mi><\/mrow><\/mfrac><\/mfrac>=<\/mo>(<\/mo>T<\/mi>2<\/mn><\/msub>\u2212<\/mo>T<\/mi>1<\/mn><\/msub>)<\/mo>K<\/mi>A<\/mi><\/mrow>3<\/mn>x<\/mi><\/mrow><\/mfrac><\/math>
=<\/mo>1<\/mn>3<\/mn><\/mfrac>A<\/mi>(<\/mo>T<\/mi>2<\/mn><\/msub>\u2212<\/mo>T<\/mi>1<\/mn><\/msub>)<\/mo>K<\/mi><\/mrow>x<\/mi><\/mfrac><\/mfenced>\u2009\u2009\u2009\u2009\u2009\u2009\u2009\u2009\u2009\u2009\u2009<\/mtext>\u2234<\/mo>\u2009<\/mtext>f<\/mi>=<\/mo>1<\/mn>3<\/mn><\/mfrac>\u2009\u2009\u2009\u2009\u2009<\/mtext><\/math><\/p>","subject":""},"yoast_head":"\nThe temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity \u00a0K and \u00a02K and thickness x and 4x , respectively, are\u00a0T2\u00a0and \u00a0T1(T2>T1).The rate of heat transfer through the slab, in a steady state is\u00a0A(T2\u2212T1)Kxf,\u00a0with\u00a0f\u00a0 equal to - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity \u00a0K and \u00a02K and thickness x and 4x , respectively, are\u00a0T2\u00a0and \u00a0T1(T2>T1).The rate of heat transfer through the slab, in a steady state is\u00a0A(T2\u2212T1)Kxf,\u00a0with\u00a0f\u00a0 equal to\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-temperature-of-the-two-outer-surfaces-of-a-composite-sla\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity \u00a0K and \u00a02K and thickness x and 4x , respectively, are\u00a0T2\u00a0and \u00a0T1(T2>T1).The rate of heat transfer through the slab, in a steady state is\u00a0A(T2\u2212T1)Kxf,\u00a0with\u00a0f\u00a0 equal to - 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