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# A steel tank is completely filled with 2.80 m3 of ethanol ISBN: 9780321675460 31

## Solution for problem 18E Chapter 17

University Physics | 13th Edition

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Problem 18E

A steel tank is completely filled with 2.80 m3 of ethanol when both the tank and the ethanol are at a temperature of 32.0°C. When the tank and its contents have c??led to 18.0°C, what additional volume of ethanol can be put into the tank?

Step-by-Step Solution:

Solution 18E Step 1 of 4: Normally solids and liquids with positive expansion coefficient expands or increases its dimensions when they are heated or temperature is increased and converse on cooling. Becauses atoms starts vibrating and increases the dimension following the atomic vibration in crystal is directly proportional to the square of distance between the two atoms as shown below, Change in volume for change in temperature, V = V T0………...1 Where V is change in volume, is coefficient of volume expansion, V 0 initial volume and T is change in temperature. Step 2 of 4: This problem involves the volume compression of the steel and of the ethanol. The volume of ethanol can be added after cooling depends on the difference between the volume changes for these two materials, both given by Eq. (1). 6 That is coefficient of volume expansion for ethanol , =e1120 × 10 /k 6 Similarly coefficient of linear expansion for steel , s= 12 × 10 /k Using = 3 s 3 =s3(12 × 10 /k)6 6 s 36 × 10 /k 6 Therefore, the coefficient of volume expansion for steel is 36 × 10 /k. The ethanol will compress more as its coefficient of volume expansion is greater than that of steel.

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##### ISBN: 9780321675460

Since the solution to 18E from 17 chapter was answered, more than 604 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: tank, ethanol, its, contents, additional. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 18E from chapter: 17 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “A steel tank is completely filled with 2.80 m3 of ethanol when both the tank and the ethanol are at a temperature of 32.0°C. When the tank and its contents have c??led to 18.0°C, what additional volume of ethanol can be put into the tank?” is broken down into a number of easy to follow steps, and 45 words.

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