Thermodynamics

For an ideal gas, which of the following statements is true regarding its internal energy (U)?

A container holds 2 moles of an ideal gas at a temperature of 300 K. What is the internal energy of the gas? (R = 8.31 J/mol·K)

An ideal gas in a closed container initially has an internal energy $U_1$ at temperature $T_1$. If the temperature is increased to $T_2 = 4T_1$, what is the new internal energy $U_2$ in terms of $U_1$?

A system absorbs 300 J of heat and performs 100 J of work on the surroundings. What is the change in internal energy of the system?

In a thermodynamic process, 50 J of heat is removed from a system, and 20 J of work is done on the system. What are the correct signs for Q and W, and what is the change in internal energy?

A gas expands, performing work while also absorbing heat. If the work done by the gas is exactly equal to the heat absorbed, what can be said about the internal energy of the gas?

A gas expands at a constant pressure of $2.0 × 10^5 Pa$, and its volume changes from $1.0 × 10^{-3} m^3$ to $3.0 × 10^{-3} m^3$. How much work is done by the gas?

A gas is compressed inside a cylinder by an external force. The initial volume of the gas is $0.1 m^3$, and the final volume is $0.05 m^3$. If the pressure remains constant at $1.5 × 10^5 Pa$, what is the work done on the gas?

A thermodynamic system undergoes a process in which its volume changes. The pressure varies during the process. Which method accurately determines the work done?

On a PV diagram, a vertical line represents which type of process?