The first law of thermodynamics states that:

Which of the following laws of thermodynamics defines the term internal energy?

Heat given to a system is $35 \ J$ and work done by the system is $15 \ J$. The change in the internal energy of the system will be ..... $J$.

Three moles of a gas at a temperature $T$ is heated to thrice its volume by keeping the pressure constant. If $\gamma$ is the ratio of specific heats,then the increase in internal energy of the gas is

Density of water at $4 ^\circ C$ and $20 ^\circ C$ are $1000 \ kg/m^3$ and $998 \ kg/m^3$ respectively. The increase in internal energy of $4 \ kg$ water when it is heated from $4 ^\circ C$ to $20 ^\circ C$ is . . . . . . $J$. (Specific heat capacity of water $= 4.2 \ kJ/kg \cdot K$ and $1$ atmospheric pressure $= 10^5 \ Pa$)

The first law of thermodynamics is a special case of: