An adiabatic piston of mass m equally divides a diathermic container of volume V0, length l and cross-sectional area A. A light spring connects the piston to the right wall. In equilibrium, pressure on each side of the piston is P0. The container starts moving with acceleration a towards right. The stretch x in spring is given as ⎛⎜⎜⎜⎝nk+nP0γAl⎞⎟⎟⎟⎠. Find n.[ Assume that x<<l, the gas in container has the adiabatic exponent ( ratio of CP and CV) =γ , m=2 kg , a=2 m/s2 ]

An adiabatic piston of mass m equally divides a diathermic container o

1.	An adiabatic piston of mass m equally divides a diathermic container of volume V0, length l and cross-sectional area A. A light spring connects the piston to the right wall. In equilibrium, pressure on each side of the piston is P0. The container starts moving with acceleration a towards right. The stretch x in spring is given as ⎛⎜⎜⎜⎝nk+nP0γAl⎞⎟⎟⎟⎠. Find n.[ Assume that x<<l, the gas in container has the adiabatic exponent ( ratio of CP and CV) =γ , m=2 kg , a=2 m/s2 ]
Answer» An adiabatic piston of mass $m$ equally divides a diathermic container of volume $V_{0}$ , length $l$ and cross-sectional area $A$ . A light spring connects the piston to the right wall. In equilibrium, pressure on each side of the piston is $P_{0}$ . The container starts moving with acceleration $a$ towards right. The stretch $x$ in spring is given as $⎛ ⎜⎜⎜ ⎝ \frac{n}{k + \frac{n P_{0} γ A}{l}} ⎞ ⎟⎟⎟ ⎠$ . Find $n$ . $[$ Assume that $x << l$ , the gas in container has the adiabatic exponent $($ ratio of $C_{P}$ and $C_{V}) = γ, m = 2 kg, a = 2 {m/s}^{2}]$

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