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Anyone can work out this pressure question? Help!?

A cylindrical bicycle pump with a capacity of 60.0cm^3 is connected to a soccer ball of pressure 3 atm and volume 250cm^3. What is the pressure of the air in the soccer ball after 1 stroke of the pump?

a) 3.24

b) 3.50

c) 12.5

d) 310

the answer is (A) but i dont know why. Explain please..

5 Answers

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  • 1 decade ago
    Favorite Answer

    [a] volume + capacity devided by pressure

  • 1 decade ago

    The soccer ball has a volume of 250 cubic centimeters. It contains air at the pressure of 3 atmospheres - IE, it has 3 soccer balls full of air compressed into 1 soccer ball-sized space. So if the air inside was allowed to expand until it was 1 atm of pressure, it would take up 750 cc of space.

    Now, after 1 stroke of the pump, you've added an additional 60 cc of air (at normal pressure). Assuming that the ball doesn't stretch any, divide the total amount of air at normal atmospheric pressure by the volume of the ball.

  • 1 decade ago

    Boyles Law - if the temperature is constant then ;v1p1=v2p2.

    v1=initial volume, p1=initial pressure = v2 final volume, p2 final pressure.

    You forgot that you need to compress the air in the pump before it increases the pressure in the ball. Only 20cm^3 enters the ball at 3 atm.

    270cm/250cm=1.08 *3 gives 3.24atm.

  • Anonymous
    1 decade ago

    do ur school work urself

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  • Anonymous
    1 decade ago

    like i dont get it

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