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)

Question

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) (A) 163.7 cal (B) zero (C) 138.1 cal (D) 9 L atom

Tardigrade Admin · Accepted Answer

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, Δ E (i.e., isothermally), the internal energy of the gas remains constant, i.e., Δ E is zero.

Q. One mole of an ideal gas at 300K is expanded isothermally from initial volume of 1L to 10L. The ΔE for this process is (R=2calmol−1K−1)

163.7 cal

zero

138.1 cal

9 L atom

Q. 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 $(R = 2 c a l m o l^{- 1} K^{- 1})$