The standard circumference of a soccer ball used at the 2010 world cup this summ

Question

The standard circumference of a soccer ball used at the 2010 world cup
this summer was 71 cm. Calculate the volume of this ball in cubic meters
(1). If the outside temperature is 15 degree C, and the pressure within the ball is 150 kPa, calculate the number of molecules in the ball. (2) Assume the temperature within the ball is the same as the outside temperature, and molecules within the ball behave as an ideal gas. If the outside temperature drops 10 degree C, what is the new pressure within the ball?

Explanation / Answer

1) use the formula volume V = (4/3) pi r^3, where 'r'isthe radius of the ball and is equal to r = 0.71 m substitute value of 'r' and solve 2) number of molecules x = n N = P V N / R T , where N is Avogadro number. here also substitue all the values and solve for 'x'

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