Explanation A relationship between the pressure( p ) and volume( v) of the vapour in a diesel engine cylinder is given by p V 1.4 = k Where k is a constant. At a certain instant, p = 4200 kpa, V = 75 cm 3 and the volume is increasing at the rate of 850 cm 3 /s . Now, substitute the value of v and p in p V 1.4 = k to calculate the value of k. k = 4200 ( 75 1.4 ) k = 1.77 × 10 6 Differentiate the equation p V 1.4 = k with respect to t : d d t ( p V 1.4 ) = d d t ( k ) p 1.4 V 0.4 d V d t + V 1.4 d p d t = 0 V 1

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Author: Washington

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Differential Equations

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Chapter 24.4, Problem 18E

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The change in pressure when the volume is increasing at the rate of 850 cm3/s.

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Chapter 24.4, Problem 17E

Chapter 24.4, Problem 19E

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Chapter 24 Solutions

Basic Technical Mathematics

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Ch. 24.1 - Prob. 9E Ch. 24.1 - Prob. 10E Ch. 24.1 - Prob. 11E Ch. 24.1 - Prob. 12E Ch. 24.1 - In Exercises 11–14, find the equations of the...Ch. 24.1 - Prob. 14E Ch. 24.1 - Prob. 15E Ch. 24.1 - Prob. 16E Ch. 24.1 - Prob. 17E Ch. 24.1 - Prob. 18E Ch. 24.1 - Prob. 19E Ch. 24.1 - Prob. 20E Ch. 24.1 - Prob. 21E Ch. 24.1 - Where does the normal line to the parabola y = x —...Ch. 24.1 - Prob. 23E Ch. 24.1 - Prob. 24E Ch. 24.1 - A certain suspension cable with supports on the...Ch. 24.1 - Prob. 26E Ch. 24.1 - Prob. 27E Ch. 24.1 - Prob. 28E Ch. 24.1 - Prob. 29E Ch. 24.1 - Prob. 30E Ch. 24.2 - In Example 1, let x1 = 0.3, and find x2. 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The change in pressure when the volume is increasing at the rate of 850 cm 3 /s .

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Chapter 24 Solutions