A gas is orignally contained within a container of volume 100m^3 and is held at

Question

A gas is orignally contained within a container of volume 100m^3 and is held at a pressure of 1 atmosphere and temperature of 15C. Due to equipment failure, the temperature rises to 66C, but the safety systems do not allow the pressure to exceed 1.1 atmospheres. during the repair, it is noticed that the safety systemes have vented gas in to the air to maintain the presure at a safe level.

a.How many moles of gas were orignally contained?

b. how much gas has been lost into the atmophere during this process.

Explanation / Answer

A.)

n=PV/RT

R=8.31J/mol K
P=1.013X10^5 (1 ATM)
V=100m^3
T=288K (15C)

Therefore:

n=(1.013X10^5)(100m^3) / (8.31 J/mol K)(288K)
n=4232 moles   

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