A gas cylinder contains 370 g oxygen gas at 30 atm pressure
and 25°C. What mass of oxygen would escape if first the cylinder were heated to 75°C and then the valve were held open until gas pressure was 1 atm, the temperature being
maintained at 75°C?
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Answer:
359.3 g
Explanation:
Volume is found from initial condition.
n = ( 370 ) ( 1 ) / 32 mol
n = 11.56 mol
Using Ideal gas equation :
P V = n R T
V = n R T / P
V = ( 11.56 × 0.0821 × 298 ) / 30
V = 9.43 L
Now final number of moles :
n = P V / R T
n = ( 1 × 9.43 ) / ( 0.0821 × 348 )
n = 0.330 mol
Mass of oxygen left :
= > ( 0.330 × 32 )
= > 10.6 g
Mass of oxygen escaped :
= > Initial mass - Final mass
= > 370 - 10.6 g
= > 359.4 g
Therefore , mass of oxygen escape is 359.3 g
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