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NEET CHEMISTRYEasy

One mole of an ideal gas at 300 K300\text{ K} is expanded isothermally from an initial volume of 1 litre1\text{ litre} to 10 litres10\text{ litres}. The ΔE\Delta E for this process is: (R=2 cal mol−1K−1R = 2\text{ cal mol}^{-1}\text{K}^{-1})

A

1381.1 cal1381.1\text{ cal}

B

Zero

C

163.7 cal163.7\text{ cal}

D

9 lit. atm9\text{ lit. atm}

Step-by-Step Solution

For an ideal gas, the internal energy (EE or UU) is a state function that depends exclusively on temperature. In an isothermal process, the temperature of the system remains constant (ΔT=0\Delta T = 0). Therefore, the change in internal energy (ΔE\Delta E or ΔU\Delta U) is zero , irrespective of the volume change.

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