Check all the correct statements.

Note: Push yourself to understand why these statements are true or false. If false think about an example that contradicts the statement, or think about how you would formulate the statement so it is correct. You will not see these exact questions in an exam, so it is important that you understand the concepts so you can answer a similar question that is formulated differently.

A cyclic path $($initial state $=$ final state$)$ always results in $$U $=0$

The internal energy of any gas depends only on the temperature of the system.

The heat capacity of an ideal gas does not depend on what molecules the gas is made of$.$

At constant temperature, the internal energy of a real gas changes with increasing pressure because molecules are brought closer together.

The internal energy of an ideal gas $($those that obey PV $=$ nRT$)$ depends only on the temperature of the system.

$$U $=0$ for any process that does not result in a change in temperature.

$\backslash$Delta U$=$qv$=$nCv$\backslash$Delta T

is always valid for any type of ideal gas. This expression even works, if the volume is not constant during the process.