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Chemistry question involving delta U?

I'm getting desperate, my chemistry midterm is tomorrow and I can't even figure out the simplest questions! This is one of the questions I'm having trouble with.

When 2.00 kJ of energy is transferred as heat to nitrogen in a cylinder fitted with a piston at an external pressure of 2.00 atm, the nitrogen gas expands from 2.00 to 5.00L against this constant perssure. What is delta U (internal energy) for the process?

The answer is +1.39 kJ but I keep getting 1.78 kJ. If anyone could explain how to do the question, that would be very much appreciated.

1 Answer

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  • Anonymous
    8 years ago
    Favorite Answer

    First: convert atm to kPa, so p = 202.6kPa

    Second: realize that it's constant pressure so q = ΔH = 2.00kJ

    Third: Use;

    ΔU = q - w

    ΔU = 2.00kJ - pΔV

    ΔU = 2000J - (202.6kPa) * (3.00L) (Convert to Joules)

    ΔU = 1 392.2J

    ΔU = 1.3922kJ (Convert back to kJ)

    ΔU = 1.39kJ (Round for Sig Figs)

    Hope this helps! :)

    Source(s): I'm probably taking the same midterm with you tomorrow... seeing as how I just did this exact question two hours ago. You go to UofG?
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