A gas inside a piston undergoes a process in which $2,000$ J of heat are removed from the gas. Also, in this process, there is a total of $3,500J$ of work done on the gas. What is the change in internal energy of the gas?

$($A$)-1,500J$

$($B$)0$ J

$($C$)1,500$ J

$($D$)2,000J$

$($E$)3,500J$

$($F$)5,500J$