Isothermal expansion and final pressure

AI Thread Summary
In an isothermal expansion of a monatomic ideal gas at 300K, the internal energy change is determined solely by temperature, which remains constant. Therefore, the change in internal energy is zero, aligning with the principle that for an ideal gas, internal energy is a function of temperature alone. The final pressure after the expansion is 100 kPa, but this does not affect the internal energy change. The correct answer to the homework question regarding the change in internal energy is 0 kJ. This confirms that during isothermal processes, the internal energy of an ideal gas does not change.
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Homework Statement


a monatomic ideal gas(Cv=3/2R) undergoes an isothermal expansion at 300K, as the volume increased from 0.09m^3 to 0.36m^3. the final pressure is 100kPa. the change in the internal energy of the gas, in kJ is closest to
a. 0
b. 25
c. -50
d. -25
e. 50


Homework Equations


Q=W




The Attempt at a Solution


I think because it is an isothermal process the internal energy of an ideal gas depends only on the temperature. since the temperature remains the same wouldn't the internal energy be zero.
 
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