Ideal gas heating

Classical Mechanics Level 2

The above shows a resistor with resistance \(R\) installed in a cylinder filled with a fixed quantity of ideal gas. We connect the resistor to a power supply with a voltage of \(V\) to provide heating energy in the cylinder. Suppose the pressure and volume of the ideal gas before and after heating are \((P_0, V_0)\) and \((P_0, 1.5V_0),\) respectively. If the internal energy of the ideal gas before heating is \(U_0,\) then what is the change in the amount of the internal energy \(\Delta U\) after heating? (The cylinder is sealed completely.)

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