Read the following statements regarding thermodynamic processes: Statement I: If equal heat is supplied to two gases at the same constant pressure and their internal energy increases by the same amount, a piston with double the radius will undergo one-fourth the displacement. Statement II: During the isothermal expansion of an ideal gas, the heat supplied is entirely converted into work done by the gas. Statement III

Step-by-step solution

Statement I is correct: From the First Law of Thermodynamics, Q = U + W . If Q and U are the same, the work done W is the same. Work done at constant pressure is W = P V = P( r^2)x . For W and P to be constant, r^2 x must be constant. If r is doubled, r^2 becomes four times, so x must become one-fourth. Statement II is correct: In an isothermal process for an ideal gas, the change in internal energy U = 0 . Therefore, Q = W , meaning all supplied heat is converted into work. Statement III is incorrect: At constant