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shows a cylindrical tube of cross-sectio...

shows a cylindrical tube of cross-sectional area A fitted with two frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the temperature of the gas is `T_(0)`and its pressure is `p_(0)`which equals the atmospheric pressure, (a)What is the tention in the wire?(b)What will be the tention if the temperature is increased to `2T_(0)?

Text Solution

Verified by Experts

We gave,
` ((P-1)(V_1)/T_1)= ((P_2)(V_2)/(T_2))`
` rArr ((P_0)V/ (T_0)) = ((P'V)/2T_0)`
` rArr P' = 2P_0`
` Net pressure = P_0 outward `
` :. Tension in wire = (P_0)A`
` Where A is area of tube. `
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