Answered: #8.) If 500 g of brass at 200 degrees…

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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#8.) If 500 g of brass at 200 degrees C and 300 g of steel at 150 degrees C are added to 900 g of water in an aluminum pan of mass 150 g both at 20 degrees C, find the final temp. (assuming no loss of heat to the surrounding)

The book answer is T_f = 32.5949 degrees C

So far I am to solve the equation this way: Q_lost = Q_gained

I have my equation set up as:

9220 cal -46 cal/^oC T_f + 34.5 cal/^oC T_f = 18000 cal -900 cal/^oC T_f + 660 cal -33 cal/^oC T_f

_{I can see that adding 9200 cakk + 5175 cal + 18000 cal + 660 cal = 33035 cal/^oC}

_{and adding up 900+33+46+34.5 = 1013.5 , therefore dividing 33035 by 1013.5 = 32.5949 degrees C. However, I see that is proper way to solve Tf algebraically ... How do I get the answer showing my work the correct way ... Thanks :)}

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