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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Ideal gas heating

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.