Difference between revisions of "009A Sample Final 3, Problem 8"

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<span class="exam">Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure &nbsp;<math style="vertical-align: 0px">P</math>&nbsp; and volume &nbsp;<math style="vertical-align: 0px">V</math>&nbsp; satisfy the equation &nbsp;<math style="vertical-align: 0px">PV=C</math>&nbsp; where &nbsp;<math style="vertical-align: 0px">C</math>&nbsp; is a constant. Suppose that at a certain instant, the volume is &nbsp;<math style="vertical-align: -4px">600 \text{ cm}^3,</math>&nbsp; the pressure is &nbsp;<math style="vertical-align: -4px">150 \text{ kPa},</math>&nbsp; and the pressure is increasing at a rate of &nbsp;<math style="vertical-align: -4px">20 \text{ kPa/min}.</math>&nbsp; At what rate is the volume decreasing at this instant?
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<span class="exam">If &nbsp;<math style="vertical-align: 0px">W</math>&nbsp; denotes the weight in pounds of an individual, and &nbsp;<math style="vertical-align: 0px">t</math>&nbsp; denotes the time in months, then &nbsp;<math style="vertical-align: -13px">\frac{dW}{dt}</math>&nbsp; is the rate of weight gain or loss in lbs/mo. The current speed record for weight loss is a drop in weight from 487 pounds to 130 pounds over an eight month period. Show that the rate of weight loss exceeded 44 lbs/mo at some time during the eight month period.
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[[009A Sample Final 3, Problem 8 Solution|'''<u>Solution</u>''']]
  
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[[009A Sample Final 3, Problem 8 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 16:56, 2 December 2017

If    denotes the weight in pounds of an individual, and    denotes the time in months, then    is the rate of weight gain or loss in lbs/mo. The current speed record for weight loss is a drop in weight from 487 pounds to 130 pounds over an eight month period. Show that the rate of weight loss exceeded 44 lbs/mo at some time during the eight month period.

Solution


Detailed Solution


Return to Sample Exam

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