# Internal energy change

Monoatomic ideal gases with the same temperature and volume are filled in the same kind of cylinders [A] and [B], as shown above, and are being heated by the same quantity of heat $$Q.$$ The piston in [A] can move freely, whereas the piston in [B] is fixed. Let $$\Delta U_A$$ and $$\Delta U_B$$ denote the increases in the amount of internal energies of the gases in [A] and [B], respectively, then what is the ratio $$\Delta U_A:\Delta U_B?$$

Ignore the mass of the piston, and assume that the energy loss to the outside is negligible.

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