Ideal Gas Problem: Pressure Increase, KE Change?

[TheRedDevil18]

Homework Statement

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

Homework Equations

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 ?

 

[Saitama]

How does the average kinetic energy depends on temperature?
Write down the formula for average kinetic energy.

 

[TheRedDevil18]

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

 

[Saitama]

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

Yep, so what's the answer to your original question then?

 

[TheRedDevil18]

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