Before brewers had access to propane or natural gas, they would heat large, insulated vats of water by adding hot stones to the water. The stones are heated to 800°C before they are dropped into a particular well-insulated large vat holding 1,200 kg of water at 20°C. If we want to heat the water to 70°C, what mass of stones must be added to the vat? The specific heat of the stone is about 790 J/kg°C and the specific heat of water is 4,186 J/kg°C. Assume the mass of the water does not change and that the vat is a perfect insulator so no internal energy is lost to the surroundings.

Answered: Before brewers had access to propane or…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Before brewers had access to propane or natural gas, they would heat large, insulated vats of water by adding hot stones to the water. The stones are heated to 800°C before they are dropped into a particular well-insulated large vat holding 1,200 kg of water at 20°C. If we want to heat the water to 70°C, what mass of stones must be added to the vat? The specific heat of the stone is about 790 J/kg°C and the specific heat of water is 4,186 J/kg°C. Assume the mass of the water does not change and that the vat is a perfect insulator so no internal energy is lost to the surroundings.

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$H e a t g a i n e d b y w a t e r = m a s s o f w a t e r * s p e c i f i c h e a t o f w a t e r * c h a n g e i n t e m p e r a t u r e = 1200 * 4186 * (70 - 20) = 251160000 J o u l e s N o w, t h i s a m o u n t o f e n e r g y m u s t b e l o s t b y s t o n e T h u s, H_{s t o n e} = - 251160000 = m a s s o f s t o n e * s p e c i f i c h e a t o f s t o n e * c h a n g e i n t e m p e r a t u r e o f s t o n e - 251160000 = - m * 790 * (70 - 800) m = 435.5 k g$

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