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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? | + | <span class="exam">Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure <math style="vertical-align: 0px">P</math> and volume <math style="vertical-align: 0px">V</math> satisfy the equation <math style="vertical-align: 0px">PV=C</math> where <math style="vertical-align: 0px">C</math> is a constant. Suppose that at a certain instant, the volume is <math style="vertical-align: -4px">600 \text{ cm}^3,</math> the pressure is <math style="vertical-align: -4px">150 \text{ kPa},</math> and the pressure is increasing at a rate of <math style="vertical-align: -4px">20 \text{ kPa/min}.</math> 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?
Solution:
(a)
(b)
(c)
Final Answer:
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(a)
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(b)
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(c)
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