Gas law 問題(20分)

2011-08-23 11:59 pm
A gas cylinder of volume 0.3m^3 contains a compressed gas at a pressure of 1.5*10^6 Pa.
It is used to inflate a balloon to a volume of 1m^3 at a pressure of 10^5Pa.
Assume the temperature of the gas is kept constant.
a)Find the final pressure in the cylinder.

b)Calculate the maximum volume of the non-elastic balloon that can be inflated to a pressure of 10^5Pa using the gas cylinder.

回答 (2)

2011-08-24 12:28 am
✔ 最佳答案

We can use one formula for the 2 questions.

P1V1 = P2V2 where P stands for pressure and V stands for volume of the gas

a)

We consider the gas inside the cylinder,
before inflation,
the gas' volume is 0.3 m^3 under 1.5x10^6 Pa pressure
after inflation,
the gas' volume will be increase to 1+0.3 m^3

we get
( 1.5 x 10^6 )(0.3) = P x (1 + 0.3)

P will be the answer


b)
Again, we consider the gas inside the cylinder,
Assume the balloon is V m^3,
everything is the same as (a) but volume is unknown while pressure is given.

we get
( 1.5 x 10^6 )(0.3) = 10^5 x (N + 0.3)

N will be the answer
2011-08-24 4:33 am
Please refer to my answer given to the same question earlier:

http://hk.knowledge.yahoo.com/question/question?qid=7011082300724


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