# - 1oft/secE deSefe=?S 200+PdeCok3 V36) Boyle's law says that when a gas is compressed while temperature remains constant, thepressure and volume obey the law PV = C where C is a constant. Suppose that at an instant thevolume is 600 cm, the pressure is 150 kPa and the pressure is increasing at a rate of 20 kPa/min.At what rate is the volume decreasing at this instant?

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Related Rates help_outlineImage Transcriptionclose- 1 oft/sec E de Se fe=? S 200 +P de Cok 3 V3 6) Boyle's law says that when a gas is compressed while temperature remains constant, the pressure and volume obey the law PV = C where C is a constant. Suppose that at an instant the volume is 600 cm, the pressure is 150 kPa and the pressure is increasing at a rate of 20 kPa/min. At what rate is the volume decreasing at this instant? fullscreen
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Step 1

Given,

Step 2

Differentiating with respect t, we get help_outlineImage TranscriptionclosedP dV ..P 0 V dt d du V + dx dv (u-v) dt dx dc fullscreen
Step 3

Now given t... help_outlineImage TranscriptionclosedP 20 kPa/min dt V = 600 cm3 , P = 150 kPa and fullscreen

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