Question

Which one of the following is applicable for an adiabatic expansion of an ideal gas?

• A. $\Delta E=0$
• B. $\Delta W=\Delta E$
• C. $\Delta W=-\Delta E$
• D. $\Delta W=0$

Answer 1

Answer: (B)

$\Delta W=\Delta E$

An adiabatic process is one that occurs without transfer of heat or matter between a thermodynamic system and its surroundings. In an adiabatic process, energy is transferred only as work.
now, as
$\Delta E=\Delta Q+W$ ( For an adiabatic expansion)
As there is no transfer of heat, so $\Delta Q=0$
So, $\Delta E=W$