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A gas with pressure of 5.0 ATM is compressed at constant temperature from 10.0 L to 2.0 L. .What is the pressure of the gas after it is compressed?
Wiki User
∙ 13y ago
If the gas behaves as a perfect gas, it obeys Boyle's Law, which can be stated as 'at constant temperature, pressure is inversely proportional to volume'. In this case the pressure is multiplied by 5/2, so the volume will be 2/5 of the original, i.e. 2 l.
Katheryn Barrows
Wiki User
∙ 12y agoCombined gas law:
P1V1 P2V2
----- = -----
T1 T2
P1= 10.0 ATM
V1= 5.00 L
T1= 500 K
P2= Unknown
V2= 10.0 L
T2= 200 K
10.0 × 5.00 / 500 = P2 × 10.0 / 200
P2= 2.00 ATM
Wiki User
∙ 12y agoFor this you would use Boyle's Law, P1V1 = P2V2. The first pressure and volume variables are before the change, while the second set are after the change. In this case, the volume is being changed and the pressure has to be solved for.
P1 = 1.00 ATM
V1 = 5.00 L
P2 = Unknown
V2 = 2.00 L
P1V1 = P2V2
1.00(5.00)=2.00P
P= 2.5 ATM
Wiki User
∙ 14y agoThat's Boyle's law. If the temperature remains the same then
(P1)(V1) = (P2)(V2)
where
P1 is the old pressure,
V1 is the old volume,
P2 is the new pressure,
V2 is the new volume.
Substituting:
(200)(2500)=(500)(V2)
500000= (500)(V2)
Divididing both sides by 500
1000 = V2
So the new volume of the gas is 1000 cubic meters.
Note: The gas has been compressed tighter, so it takes up
less space or volume.
Wiki User
∙ 10y agoBoyle's Law applies to this question. It states that at constant temperature, the volume of a gas is inversely proportional to its pressure. In this case, the volume at 2.0 ATM would be 26 liters.
Wiki User
∙ 7y agoIf the gas behaves as a perfect gas, it obeys Boyle's Law, which can be stated as 'at constant temperature, pressure is inversely proportional to volume'. In this case the pressure is multiplied by 5/2, so the volume will be 2/5 of the original, i.e. 2 l.
Wiki User
∙ 14y agoP1V1=P2V2
P1=2.0 atm
V1=200 mL
V2=10 mL
P2=(P1V1)/V2
P2=(2.0*200)/(10)
P2=40 atm
Wiki User
∙ 13y agoUse Boyle's Law, P1V1= P2V2
Rearrange for P2: P2=(P1V1)/V2
P2= (5.0x10.0)/2.0
P2= 25 atm
The pressure of the gas after it is compressed is equal to 25 atmospheres.
Wiki User
∙ 14y ago1,000 cubic meters..
Wiki User
∙ 7y agoIt is reduced to 2 L.
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