Calculate Pressure When V2 Changes: PVT Relationships

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To calculate pressure when volume changes, the ideal gas law and the combined gas equation (PV/T = constant) are used. Given initial conditions of P1 = 3 atm, V1 = 4 m³, T1 = 300 K, and final conditions of V2 = 2 m³ and T2 = 400 K, pressure P2 can be determined. By rearranging the equation for the second state and substituting the known values, P2 is calculated to be 8 atm. Understanding the relationship between pressure, volume, and temperature is crucial for solving these types of problems. This approach effectively demonstrates how to apply the ideal gas law in practical scenarios.
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How do i calculate pressure?

P1 = 3atm .... P2 = ?
V1 = 4 m3...V2 = 2 m3(half original)
T1 = 300k...T2 = 400

how do i calculate pressure when V2 changes?

Thanks for any help
 
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You need to give a bit more on the problem? What fluid are you using?
 
just says a quantity of gas
 
I'll assume that they want to use the ideal gas law to solve then.
 
P2 = 8atm, I am just not sure how to work it out
 
You have a gas at two states; let's call it state 1 and state 2.

Ideal gas law is pV=mRT where R is universal gas constant of 8314.

You have all the parameters for state 1 apart from the mass. Once you know this you will know all the parameters for state 2 apart from the pressure. Plug in the numbers and there's your answer.
 
its just talking about the combined gas equation PV/T= constant

it isn't saying anything about m or R yet
 
Well then it is even easier!

PV/t=constant so for state 1, obtain an aswer (this is constant) then rearrange for V and plug in the values for state 2.
 
have it now, thanks for your help
 
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