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Question

If an ideal gas, at constant temperature and pressure, expands, then its


  1. internal energy increases
  2. entropy increases and then decrease
  3. internal energy decreases
  4. internal energy remains the same

A
internal energy increases
B
internal energy remains the same
C
internal energy decreases
D
entropy increases and then decrease
Solution
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Internal energy at any state is a function of the number of moles n and the temperature. If the volume expansion takes place at constant temperature and pressure we see that using the gas equation PV=nRT, we get Vn and thus the number of moles of gas is increasing(maybe the gas is being introduced by an external agent), thus internal energy is increasing.

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