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 <math>P</math> and volume <math>V</math> satisfy the equation <math>PV=C</math> where <math>C</math> is a constant. Suppose that at a certain instant, the volume is <math>600 \text{ cm}^3,</math> the pressure is <math>150 \text{ kPa},</math> and the pressure is increasing at a rate of <math>20 \text{ kPa/min}.</math> At what rate is the volume decreasing at this instant?
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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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Revision as of 14:36, 6 March 2017

Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure    and volume    satisfy the equation    where    is a constant. Suppose that at a certain instant, the volume is    the pressure is    and the pressure is increasing at a rate of    At what rate is the volume decreasing at this instant?

Foundations:  


Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  

(c)

Step 1:  
Step 2:  


Final Answer:  
(a)
(b)
(c)

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