Explanation Given information : The ideal gas law states that for an ideal gas, pressure P is given by formula P = k T V , where V is volume, T is temperature, and k is a constant .The temperature is kept fixed at 100 ∘ C , and pressure decreases at the rate of 7 lb/in.2 per min. Calculation: Given equation is P = k T V By differentiating both sides with respect to t, we get d P d t = − k T V 2 d V d t Now, according to given condition, we have T = 100 ∘ C , d P d t = − 7 lb/in.2 per min Therefore, we have d P d t = − k T V 2 d V d t − 7 =<

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 96SP

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To find:The rate at which the volume is changing at the instant the pressure is 25 lb/in.2 and volume is 30 in.3

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Chapter 3, Problem 95SP

Chapter 3, Problem 97SP

Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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The rate at which the volume is changing at the instant the pressure is 25 lb/in.2 and volume is 30 in.3

Solution Summary: The author explains that the ideal gas law states that pressure is given by formula P=kTV.

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To find:The rate at which the volume is changing at the instant the pressure is 25 lb/in.2 and volume is 30 in.3

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Chapter 3 Solutions