Kinetic theory and temperature in gases

[Ifailphysics]

Homework Statement

Temperature of a gas (in kelvin) is proportional to the average kinetic temperature of its particles.

Question: The temperature of 55k (277C) to 1100k(827C). At 277C the mean kinetic energy of the gas is 1.14x10^20. What is it at 827C?

Homework Equations

kinetic energy= ½ x mass x (velocity)²

The Attempt at a Solution

55k to 1100k is x20. 1.14x10^20 x20=2.28x10^21.

Just want to check this is correct as I have an exam tormorrow.

 

[lukas86]

I'm fairly out of it because I'm pretty tired, but seems alright to me.

 

[Ifailphysics]

I'm fairly out of it because I'm pretty tired, but seems alright to me.

Alright, cheers mate.

 

[nicksauce]

How is 55K = 277C??

 

[lukas86]

5k maybe? I just noticed that now...