When the gas bubble is at a height from the bottom

MATHEMATICS · Single correct · ISC · Physics · Heat and Thermodynamics · Zeroth law of thermodynamics

Problem

When the gas bubble is at a height yy from the bottom, its temperature is – (1) T0(P0+ρℓgHP0+ρℓgy)2/5T_0 \left( \frac{P_0 + \rho_\ell gH}{P_0 + \rho_\ell gy} \right)^{2/5} (2) T0(P0+ρℓg(H−y)P0+ρℓgH)2/5T_0 \left( \frac{P_0 + \rho_\ell g(H-y)}{P_0 + \rho_\ell gH} \right)^{2/5} (3) T0(P0+ρℓgHP0+ρℓgy)3/5T_0 \left( \frac{P_0 + \rho_\ell gH}{P_0 + \rho_\ell gy} \right)^{3/5} (4) T0(P0+ρℓg(H−y)P0+ρℓgH)3/5T_0 \left( \frac{P_0 + \rho_\ell g(H-y)}{P_0 + \rho_\ell gH} \right)^{3/5}

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