Question

A cylinder is filled with 0.10 mol of an ideal gas at standard temperature and pressure, and a 1.4-kg piston seals the gas in the cylinder (see figure) with a frictionless seal. The trapped column of gas is 2.0-m high. The piston and cylinder are surrounded by air, also at standard temperature and pressure. The piston is released from rest and starts to fall. The motion of the piston ceases after the oscillations stop with the piston and the trapped air in thermal equilibrium with the surrounding air. +1.4 kg (a) Find the height of the gas column. 1.746 X m (b) Suppose that the piston is pushed down below its equilibrium position by a small amount and then released. Assuming that the temperature of the gas remains constant, find the frequency of vibration of the piston. 1.01 X Hz Use the ideal gas law to find the height of the piston under equilibrium conditions. In (b), you can apply Newton's second law and the ideal gas law for a fixed amount of gas to the show that, for small displacements from its equilibrium position, the piston executes simple harmonic motion. eBook Submit Answer

Answer 1

At const T Pin Pin 7 Pin Vin (Von – My) Pivo Ah Ah-Ay 2-ylu ! Pi Pin (2+ 4/n may - PA + Pin A = -Pia Ayly = and²y ata Q²Y 그 ARTY mha dt² 2 wa HRT mha f cor 2.2 hz ZA

At const T Pin Pin 7 Pin Vin (Von – My) Pivo Ah Ah-Ay 2-ylu ! Pi Pin (2+ 4/n may - PA + Pin A = -Pia Ayly = and²y ata Q²Y 그 ARTY mha dt² 2 wa HRT mha f cor 2.2 hz ZA
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