The Joule-Thompson coefficient for nitrogen (N 2 ) at T =300.0K and p = 1.000 at

Question

The Joule-Thompson coefficient for nitrogen (N2) at T =300.0K and p = 1.000 atm is JT = +0.27K/atm.
a) A gas cylinder contains nitrogen gas at a pressure p = 130.atm and T = 300. K. The value of the gas cyclinder is opened andthe gas is allowed to expand adiabatically and irreversibly into aballoon ( p = 1.0 atm). Estimate the temperature of the nitrogengas after the expansion.
b) Is your estimated temperature change in part a likely to belarger, smaller, or about the same magnitude as the actualtemperature change that will occur if the above experiment iscarried out.



a) A gas cylinder contains nitrogen gas at a pressure p = 130.atm and T = 300. K. The value of the gas cyclinder is opened andthe gas is allowed to expand adiabatically and irreversibly into aballoon ( p = 1.0 atm). Estimate the temperature of the nitrogengas after the expansion.
b) Is your estimated temperature change in part a likely to belarger, smaller, or about the same magnitude as the actualtemperature change that will occur if the above experiment iscarried out.

Explanation / Answer

= T/P a)   (T2 - T1)/(P2 -P1) = = 0.27 K/atm T2 = *(P2-P1) + T1 = 0.27 K/atm *(1 atm - 130 atm) + 300K T2 = 265.17 ~ 265 K b) if it is not reversible, there should be a change in entropy =>the gas loses more energy (more disorded), so it temperature willdrop even more. So the change should be larger

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