For the gaseous reaction involving the complete combustion of isobutane,which of the following relations holds true?

Which of the following is the correct mathematical expression for the first law of thermodynamics?

Which of the following processes exhibits an increase in internal energy?

Given below are two statements.
Statement-$I$ : Adiabatic work done is positive when work is done on the system and internal energy of the system increases.
Statement-$II$ : No work is done during free expansion of an ideal gas.
In the light of the above statements,choose the correct answer from the options given below.

When a system expands under adiabatic conditions,what happens to its internal energy?

The work done by the system is $8 \, J$. When $40 \, J$ of heat is supplied to the system,the change in internal energy of the system during the process is ...... $J$.