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

From Grad Wiki
Jump to navigation Jump to search
 
(3 intermediate revisions by the same user not shown)
Line 1: Line 1:
<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?
+
<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.
 +
<hr>
 +
[[009A Sample Final 3, Problem 8 Solution|'''<u>Solution</u>''']]
  
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Foundations: &nbsp;
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|}
 
  
 +
[[009A Sample Final 3, Problem 8 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
'''Solution:'''
 
  
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 1: &nbsp;
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|}
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
|-
 
|
 
|-
 
|
 
|}
 
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Final Answer: &nbsp;
 
|-
 
|
 
|}
 
 
[[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