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Get Full Access to University Physics - 13 Edition - Chapter 17 - Problem 99p
Get Full Access to University Physics - 13 Edition - Chapter 17 - Problem 99p

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# For your cabin in the wilderness, you decide to build a

ISBN: 9780321675460 31

## Solution for problem 99P Chapter 17

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 99P

For your cabin in the wilderness, you decide to build a primitive refrigerator out of Styrofoam, planning to keep the interior cool with a block of ice that has an initial mass of 24.0 kg. The boxhas dimensions of 0.500 m × 0.800 m × 0.500 m Water from melting ice collects in the bottom of the box. Suppose the ice block is at 0.00 °C and the outside temperature is 21.0°C, if the top of the empty boxis never opened and you want the interior of the boxto remain at 5.00°C for exactly one week, until all the ice melts. What must be the thickness of the Styrofoam?

Step-by-Step Solution:
Step 1 of 3

Solution 99P For water 3 Lf= 334 × 10 kg For styrofoam k=0.01 W/m.K One week i= 7 × 24 × 60 × 60 = 604800 s The surface area of the box is 4(0.5 m)(0.8)+2(0.5)=2.10 m 2 3 Q = mL =f(234 kg)(334 × 10 J/kg = 8.016 × 10 6 We have relation H = kA(THT C L Q kA(T T ) = H C t L t kA(H TC) L = Q 604800 s×0.01W/m.K×2.10 m ×(21 C5 C) = 6 8.016×10 2 =2.5× 10 m

Step 2 of 3

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For your cabin in the wilderness, you decide to build a