A cylindrical tube of uniform $$cross-sectional$$ area A is fitted with two air tight frictionless pistons.The pistons are connected to each other by a metallic wire. Initially, the pressure of the gas is $$p0$$ and temperature is $$T0$$, atmospheric pressure is also $$p0$$. Now, the temperature of the gas is increased to $$2T0$$, the tension in the wire will be

Question

Infinity Learn · Accepted Answer

Volume of the gas V is constant.∴  p ∝T, i.e. pressure will be doubled when temperature is doubled.∴                                   p $$=$$ $$2p0Now$$, let F be the tension in the wire. Then, equilibrium of anyone piston will give                                       F $$=$$ $$(p-p0)A$$                                          $$=$$ $$(2p0-p0)A$$                                           $$=$$ $$p0A$$

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