A sphere 12 cm in diameter contains and ideal gas at 1 atm and13 degrees Celsius

Question

A sphere 12 cm in diameter contains and ideal gas at 1 atm and13 degrees Celsius. As the sphere is heated to 108 degrees C,gas is allowed to escape. The valve is closed and thesphere is placed in an ice water bath.  
   How many moles of gas escape from the sphere asit warms? Answer in units of mol.
   What is the pressure in the sphere when it'sin the ice water? Answer in units of Pa. A sphere 12 cm in diameter contains and ideal gas at 1 atm and13 degrees Celsius. As the sphere is heated to 108 degrees C,gas is allowed to escape. The valve is closed and thesphere is placed in an ice water bath.  
   How many moles of gas escape from the sphere asit warms? Answer in units of mol.    What is the pressure in the sphere when it'sin the ice water? Answer in units of Pa.

Explanation / Answer

volume of sphere = (4/3) 63 =   904.78 cc =   0.90478liters.
initial moles       n = p V / RT = 1 * 0.90478 / 0.082073 * (273+13) =   0.038546 . final moles        n = p V/ R T = 1 * 0.90478 / 0.082073 * (273+108) =   0.028935 .        moles escaped = 0.038546 - 0.028935 =   0.009611    moles . final pressure =    n R T / V = 0.028935 * 0.082073 * 273 / 0.90478 =   0.7165atm =    72585Pa

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