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The gas money the gas law at all temperature and pressure is what gas law? state the equation which governs the behavior of a real gas nitrogen heated at 800k in a clouded vessel enters at 90attm pressure and temperature of 200k ,evaluate the pressure at working temperature
Accepted Answer
The gas law that applies at all temperatures and pressures is the ideal gas law. It states that the product of pressure (P) and volume (V) is proportional to the product of the number of moles (n) and the absolute temperature (T):
PV = nRT
where R is the ideal gas constant.
The behavior of real gases is more complex and can be described by the van der Waals equation:
(P + a(n/V)^2)(V - nb) = nRT
where a and b are constants that account for the attractive and repulsive forces between gas molecules.
To evaluate the pressure at the working temperature, we can use the ideal gas law assuming nitrogen behaves ideally at these conditions. Here's the calculation:
Initial pressure (P1) = 90 atm
Initial temperature (T1) = 200 K
Final temperature (T2) = 800 K
Using the ideal gas law, we can write:
P1V1/T1 = P2V2/T2
Assuming constant volume (V1 = V2), the equation simplifies to:
P1/T1 = P2/T2
P2 = P1
(T2/T1)
P2 = 90 atm
(800 K / 200 K) = 360 atm
Therefore, the pressure at the working temperature of 800 K is 360 atm.
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