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(a) Use Eq. (18.1) to estimate the change in the volume of

Chapter 18, Problem 56P

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QUESTION:

(a) Use Eq. (18.1) to estimate the change in the volume of a solid steel sphere of volume 11 L when the temperature and pressure increase from \(21^{\circ} \mathrm{C}\) and \(1.013 \times 10^{5} \mathrm{Pa}\) to \(42^{\circ} \mathrm{C}\) and \(2.10 \times 10^{7} \mathrm{Pa}\) (Hint: Consult Chapters 11 and 17 to determine the values of and k.) (b) In Example 18.3 the change in volume of an 11-L steel scuba tank was ignored. Was this a good approximation? Explain.

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QUESTION:

(a) Use Eq. (18.1) to estimate the change in the volume of a solid steel sphere of volume 11 L when the temperature and pressure increase from \(21^{\circ} \mathrm{C}\) and \(1.013 \times 10^{5} \mathrm{Pa}\) to \(42^{\circ} \mathrm{C}\) and \(2.10 \times 10^{7} \mathrm{Pa}\) (Hint: Consult Chapters 11 and 17 to determine the values of and k.) (b) In Example 18.3 the change in volume of an 11-L steel scuba tank was ignored. Was this a good approximation? Explain.

ANSWER:

Solution 56P Step 1 of 4: Given For steel 5 1 = 3.6 × 10 K k = 6.25 × 1012Pa 1 V = 11 L 0 p = 2.1 × 10 pa

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