1. Tardigrade
  2. Question
  3. Chemistry
  4. One mole of an ideal gas at 300 K is expanded isothermally from initial volume of 1 L to 10 L. The Δ E for this process is ( R =2 cal mol -1 K-1)

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Q. One mole of an ideal gas at $300\, K$ is expanded isothermally from initial volume of $1 \,L$ to $10\,L$. The $\Delta E$ for this process is $\left( R =2 \,cal\, mol ^{-1}\, K^{-1}\right)$

AMUAMU 2014

Solution:

In an isothermal expansion, heat is allowed to flow into or out of the system so that temperature remains constant throughout the expansion of gas. For an ideal gas, AE (internal energy) depends upon temperature only, therefore at constant temperature, $\Delta E$ (i.e., isothermally), the internal energy of the gas remains constant, i.e., $\Delta E$ is zero.