Ideal Gas Problem

1. The problem statement, all variables and given/known data
An ideal gas is enclosed in a gas syringe. The pressure on the gas is now increased but the temperature of the gas is kept constant. The average kinetic energy of the gas molecules will...... A) increase B) remain constant C) decrease D) double


2. Relevant equations



3. The attempt at a solution
I think that it will increase because the pressure increases and so the molecules will move around more. Am I correct ?

 

ek = 1/2 mv^2 which is directly proportional to temperature,
Am I correct?

 

So the answer is, B) remain constant.
Thanks for your help!