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5_Physics ProblemsTechnical Physics

# 5_Physics ProblemsTechnical Physics - Chapter 1 P1.12(a F...

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Chapter 1 5 P1.12 (a) The mass of one molecule is m 0 27 26 18 0 1 66 10 2 99 10 = × F H G I K J = × . . . u kg 1 u kg . The number of molecules in the pail is N m m pail kg 2.99 kg molecules = = × = × 0 26 25 1 20 10 4 02 10 . . . (b) Suppose that enough time has elapsed for thorough mixing of the hydrosphere. N N m M both pail pail total 25 (4.02 10 molecules) kg kg = F H G I K J = × × F H G I K J 1 20 1 32 10 21 . . , or N both molecules = × 3 65 10 4 . . Section 1.4 Dimensional Analysis P1.13 The term x has dimensions of L, a has dimensions of LT 2 , and t has dimensions of T. Therefore, the equation x ka t m n = has dimensions of L LT T = 2 e j a f m n or L T L T 1 0 2 = m n m . The powers of L and T must be the same on each side of the equation. Therefore, L L 1 = m and m = 1 .
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