Question

An ideal gas is allowed to expand from $5L$ to $15L$ once rapidly and once very slowly. The magnitude of work done in two processes are $W_1$ and $W_2$, they are related as:

• A. $W_1=W_2$
• B. $W_1>W_2$
• C. $W_1<W_2$
• D. data is insufficient

Answer 1

The correct option is B $W_1>W_2$

In slow expanding heat transfer will be zero that is called adiabatic process so work done would be less as,

$E=Q-W$ and $-W=E$

But when the gas expand fast ,

$E=-Q-W$ so work done would be $-W=E+Q$

So $W_1>W_2$