Thermodynamics Question: Calculating Work for Nitrogen Gas Expansion

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The discussion centers on calculating work done during the expansion of two kilograms of nitrogen gas under specific conditions. The initial state of the gas is defined by a temperature of 600 K and a pressure of 10 atm, leading to an initial volume of 0.351506 m³. The gas expands to three times this volume, resulting in a work output of 712327 J. The confusion arises regarding the interpretation of "50% of the isobaric work," clarifying that the process is not isobaric but rather a comparison to an isobaric scenario.

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I have this problem:

Two (2) kilograms of Nitrogen gas at 600 K and 10 atm are allowed to expand such that they end up occupying three (3) times the initial volume and providing 50% of the isobaric work.

mass = 2000 g
temp1 = 600 K
pressure1 = 1013250 Pa
gasC = 8.3144621
n = mass/28.0134 = 71.3944 mol
v1 = (n*gasC*temp1)/pressure1 = 0.351506 m^3
v2 = 3*v1 = 1.05452 m^3

w = p1*(v2 - v1) = 712327 J

I have to determine v2, temp2, and pressure2 and characterize the process. Where I'm confused is the 50% of isobaric work part. If the system is isobaric wouldn't all of the work being done be a result of the change in volume? Or am I missing something related to a change in temperature that would affect the work being done?

Any help would be greatly appreciated.
 
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An isobaric process is a thermodynamic process in which the pressure stays constant.
Your question does not say the process is isobaric, but that the work is 50% of that had the process been an isobaric expansion.
 

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