298 K 10.5 atm N2O 5.00 L 745 torr

298 K 10.5 atm N2O 5.00 L 745 torr

 

 

N2O is a gas commonly used to help sedate patients

in medicine and dentistry due to its mild anesthetic

and analgesic properties; it is also nonflammable.

If a cylinder of N2O is at 10.5 atm and has a volume of 5.00 L at 298 K,

how many moles of N2O gas are present?

The gas from the cylinder is emptied into a large balloon at 745 torr.

What is the volume of the balloon at 298 K?

 

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PV = nRT

( 참고 https://ywpop.tistory.com/3097 )

 

n = PV / RT

= [(10.5) (5.00)] / [(0.08206) (298)]

= 2.15 mol N2O

 

 

 

2.15 mol × (6.022×10^23 개/mol)

= 1.29×10^24 개 N2O

 

 

 

P1V1 = P2V2

( 참고 https://ywpop.tistory.com/1977 )

 

V2 = P1 V1 / P2

= (10.5) (5.00) / (745/760)

= 53.6 L