SOLUTION: Boyleโ€™s Lawstates that: ๐‘ƒ๐‘‰=๐ถ Where P and V are the pressure and volume of gas and C is a constant. Suppose that a gas is currently occupying 100cm^3 with a pressure of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Boyleโ€™s Lawstates that: ๐‘ƒ๐‘‰=๐ถ Where P and V are the pressure and volume of gas and C is a constant. Suppose that a gas is currently occupying 100cm^3 with a pressure of      Log On

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Question 1180414: Boyleโ€™s Lawstates that:
๐‘ƒ๐‘‰=๐ถ
Where P and V are the pressure and volume of gas and C is a constant. Suppose that a gas is currently occupying 100cm^3 with a pressure of 270 kPa. If the volume is increasing at a rate of 5cm^3/s, how is the pressure changing?

Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.

You are given


    PV = C,    

     V = 100 + 5t  cubic centimeters


where C is a constant, V is the gas volume in cubic centimeters, P is the gas pressure in kPa, and t is the time (in seconds).


It implies for the pressure


    P = %28100%2A270%29%2F%28100+%2B+5t%29 = 270%2F%281+%2B+0.05t%29 kPa,


giving the  ANSWER  to your question.

Solved, answered and carefully explained.