Question

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8. Suppose that a cup of soup cooled from 90°C to 70°C after 10 minutes in a room whose temperature was 20°C. Use Newton's law of cooling to answer the following questions. a. How much longer would it take the soup to cool to 45°C? b. Instead of being left to stand in the room, the cup of 90°C soup is put in the freezer whose temperature is -5°C. How long will it take the soup to cool from 90°C to 45°C? a. How much longer would it take the soup to cool to 45°C? min (Round the final answer to two decimal places as needed. Round all intermediate values to five decimal places as needed.) b. How long will it take the soup to cool from 90°C to 45°C in the freezer? min (Round the final answer to two decimal places as needed. Round all intermediate values to five decimal places as needed.) 9. A metal beam was brought from the outside cold into a machine shop where the temperature was held at 60°F. After 5 min, the beam warmed to 30°F and after another 5 min it was 45°F. Use Newton's Law of Cooling to estimate the beam's initial temperature. The beam's initial temperature was F

Answer 1

Ts - 20°C Togo T-20 0-20 (90-20) el K 20 107 e SO Ine Tor = in (3) TOK = ln (75) Newton's law of cooling T- T S = (To-Text T=45° 45-20- Go-20) e-*t 25 so Kt= lnlz) t = 10 (2) X10 in(25) t-206 min TS=200-S TO = 90 T-us (45+5). (gots)e-kt so gs ett = te in 195/50) Inlgs/so) Xio Ines) t= 19.07 mins. Scanned with CamScanner CS Scanned with CamScanner

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