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Ideal gas temperature question?
Six moles of an ideal gas are in a cylinder fitted at one end with a movable piston. The initial temperature of the gas is 28.0 degrees celsius.
As part of a machine design project, calculate the final temperature of the gas after it has done 1700J .
2 Answers
- 9 years agoFavorite Answer
Hi! This question is pretty straightforward as long as you keep track of some things:
Assume the gas expands doing work at constant pressure and you have,
W = - p (delta_V);
this is in the ideal gas law as pV = nRT right?
So looking at changes in temperature you have delta_T = T_final - T_initial;
now just set up the relation you have keeping the units consistent i.e. use R = 8.314 J / mol*K and convert temperatures to kelvin;
thus,
W = nRdelta_T ---> T_final = T_initial - (W / nR) with n=6 moles
Hope that helps!
Source(s): Im a physicist.
