{"id":329299,"date":"2023-01-06T00:57:59","date_gmt":"2023-01-05T19:27:59","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-copper-calorimeter-of-mass-1-5-kg-has-200-g-of-water-at-250c-how-much-water-approx-at-500c-is-required-to-be-poured-in-the-calorimeter-so-that-the-equilibrium-temperature-attaine\/"},"modified":"2025-06-26T17:58:39","modified_gmt":"2025-06-26T12:28:39","slug":"a-copper-calorimeter-of-mass-1-5-kg-has-200-g-of-water-at-250c-how-much-water-approx-at-500c-is-required-to-be-poured-in-the-calorimeter-so-that-the-equilibrium-temperature-attaine","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-copper-calorimeter-of-mass-15-kg-has-200-g-of-water-at25\/","title":{"rendered":"A copper calorimeter of mass 1.5 kg has 200 g of water at\u00a0250C. How much water (approx.) at\u00a0500C\u00a0is required to be poured in the calorimeter, so that the equilibrium temperature attained is\u00a0400C?\u00a0(Sp. heat capacity of copper = 390 J\/kg-\u00a00C)"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A copper calorimeter of mass 1.5 kg has 200 g of water at\u00a0250C. How much water (approx.) at\u00a0500C\u00a0is required to be poured in the calorimeter, so that the equilibrium temperature attained is\u00a0400C?\u00a0(Sp. heat capacity of copper = 390 J\/kg-\u00a00C)","custom_permalink":"question\/physics\/a-copper-calorimeter-of-mass-15-kg-has-200-g-of-water-at25\/"},"categories":[],"acf":{"question":"

A copper calorimeter of mass 1.5 kg has 200 g of water at 25<\/mn>0<\/mn><\/msup>C<\/mi><\/math>. How much water (approx.) at 50<\/mn>0<\/mn><\/msup>C<\/mi><\/math> is required to be poured in the calorimeter, so that the equilibrium temperature attained is 40<\/mn>0<\/mn><\/msup>C<\/mi>?<\/mo><\/math> (Sp. heat capacity of copper = 390 J\/kg- <\/mrow>0<\/mn><\/msup>C<\/mi><\/math>)<\/p>","options":[{"option":"

508.3 gram<\/p>","correct":true},{"option":"

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

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

610 gram<\/p>","correct":false}],"solution":"

Let \u2018m\u2019  be the required mass of water.<\/p>

Then heat lost by hot water<\/p>

Q<\/mi>lost<\/mi><\/msub> <\/mo>=<\/mo> <\/mo>(<\/mo>m<\/mi>)<\/mo>(<\/mo>1<\/mn>cal<\/mi>g<\/mi>-<\/mo> <\/mrow><\/maction>0<\/mn><\/msup>C<\/mi><\/mrow><\/mfrac>)<\/mo>(<\/mo>50<\/mn>-<\/mo>40<\/mn>)<\/mo><\/mrow>0<\/mn><\/msup>C<\/mi>-<\/mo>-<\/mo>-<\/mo>-<\/mo>-<\/mo>-<\/mo>(<\/mo>i<\/mi>)<\/mo><\/mstyle><\/math><\/p>

Heat gained by the calorimeter<\/p>

    Q<\/mi>1<\/mn><\/msub> <\/mo>=<\/mo> <\/mo>[<\/mo>(<\/mo>1500<\/mn> <\/mo>g<\/mi>)<\/mo>(<\/mo>390<\/mn>4<\/mn>.<\/mo>2<\/mn> <\/mo>\u00d7<\/mo>10<\/mn>3<\/mn><\/msup><\/mrow><\/mfrac>cal<\/mi>g<\/mi>-<\/mo> <\/mrow><\/maction>0<\/mn><\/msup>C<\/mi>)<\/mo><\/mrow><\/mfrac>)<\/mo>]<\/mo>(<\/mo>40<\/mn>-<\/mo>25<\/mn>)<\/mo><\/mrow>0<\/mn><\/msup>C<\/mi><\/math><\/p>

Heat gained by the water present in it<\/p>

Q<\/mi>2<\/mn><\/msub> <\/mo>=<\/mo> <\/mo>[<\/mo>(<\/mo>200<\/mn> <\/mo>g<\/mi>)<\/mo>(<\/mo>1<\/mn>cal<\/mi>g<\/mi>-<\/mo> <\/mrow><\/maction>0<\/mn><\/msup>C<\/mi><\/mrow><\/mfrac>)<\/mo>]<\/mo>(<\/mo>40<\/mn>-<\/mo>25<\/mn>)<\/mo><\/mrow>0<\/mn><\/msup>C<\/mi><\/math><\/p>

Total heat gained by the calorimeter and the water present in it<\/p>

     Q<\/mi> <\/mo>gain<\/mi><\/msub> <\/mo>=<\/mo> <\/mo>Q<\/mi>1<\/mn><\/msub>+<\/mo>Q<\/mi>2<\/mn><\/msub>-<\/mo>-<\/mo>-<\/mo>-<\/mo>-<\/mo>-<\/mo>-<\/mo>(<\/mo>ii<\/mi>)<\/mo><\/math><\/p>

From principle of calorimetry<\/p>

heat lost by hot body = heat gained by cold body<\/p>

So, equating Eqs. (i) and (ii) and solving for m, we get<\/p>

m = 508.93 gram<\/p>","subject":""},"yoast_head":"\nA copper calorimeter of mass 1.5 kg has 200 g of water at\u00a0250C. How much water (approx.) at\u00a0500C\u00a0is required to be poured in the calorimeter, so that the equilibrium temperature attained is\u00a0400C?\u00a0(Sp. heat capacity of copper = 390 J\/kg-\u00a00C) - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A copper calorimeter of mass 1.5 kg has 200 g of water at\u00a0250C. 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