Finding internal energy change in a adiabatic compression process.

[tralelale1234]

Can you help me with this problem?

An ideal gas is compressed adiabatically. The work done over it is 200 J.
How much will the internal energy change?

A) 200 J
B) 100 J
C) -200 J
D) 0 J

Which formula do you use to solve it?

Thanks in advance!

 

[kuruman]

Try the First Law of Thermodynamics.

 

[tralelale1234]

But in this case work is applied to the system from the outside.
So this means that energy is added to the system and the correct answer would be 200 J?
Correct me if I'm wrong.

 

[kuruman]

What does the First Law of Thermodynamics say? Is it inapplicable when work is supplied from the outside?

 

[rwisz]

Sure, I would be happy to help with this problem. To find the internal energy change in an adiabatic compression process, we can use the formula ΔU = W, where ΔU is the change in internal energy and W is the work done on the gas. In this case, since the work done is given as 200 J, the internal energy change would also be 200 J (option A). This is because in an adiabatic process, there is no transfer of heat, so all of the work done is converted into internal energy. I hope this helps!