One mole of an ideal gas at $25\,^{\circ}C$ expands its volume from $1\,L$ to $4\,L$ at constant temperature. What work (in $J$) is done if the gas expands against a vacuum $(P_{ext} = 0)$?

• A
  $-4 \times 10^2$
• B
  $-3 \times 10^2$
• C
  $-1 \times 10^2$
• D
  Zero