An adiabatic chamber has frictionless insulated pi

Question

An adiabatic chamber has frictionless insulated piston of mass m. Mass of remaining chamber including gas is 4m. `n` moles of an ideal monoatomic gas is present inside the chamber at atmospheric pressure and temperature. Piston is in rest at equilibrium and confined to move along the length of the cylinder. A particle of mass m moving horizontally with speed v, strikes elastically with the piston. Find the change in temperature of the gas when compression of gas is maximum

saransh · Accepted Answer

this is a basic question given : adiabatic hence Q= 0 co efficient of restitution e=1 friction = 0 v =initial vel of ball restitution eqn v= u2 &ndash; u1 momentum conservation v = u2+ u1 u1= u2= v/2 energy conservvation &frac12; m(v/2)2 = 3/2 nRT1 &ndash; T2+ 0 WD + Q = E T1 &ndash; T2 = mv2/12nR

Thermal Physics> An adiabatic chamber has frictionless ins...

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Thermal Physics> An adiabatic chamber has frictionless ins...

Subham , 8 Years ago

saransh

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