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torisob [31]
3 years ago
7

A steel pot has a bottom with a cross sectional area of .1m2 and has a thickness of 1cm. The pot is filled with boiling water an

d the bottom of the pot is held at 200 degrees Celsius. The thermal conductivity of steel is 14 J/s m Co. How much heat is being conducted through the pot in one minute?
Physics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:

840000 J/min

Explanation:

Area = A = 0.1 m²

Bottom of pot temperature = 200 °C

Thermal conductivity = k = 14 J/sm°C

Thickness = L = 1 cm = 0.01 m

Temperature of boiling water = 100 °C

From the law of heat conduction

Q = kAΔT/L

⇒ Q = 14×0.1×(200-100)/0.01

⇒ Q = 14000 J/s

Converting to J/minute

Q = 14000×60 = 840000 J/min

∴ Heat being conducted through the pot is 840000 J/min

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The Entropy generated by the steam = 2.821 kJ/K

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Total volume of container = 5m³

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Specific enthalpy of saturated liquid at 300°C , h_{f} = 1344.8 kJ/kg

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U_{2} = U_{f2} + U_{fg2}

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1332.7 = 340.49 + x2140.7

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u_{2} = u_{f2} + xu_{fg2}

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u_{2} = \frac{v_{2} }{m_{2} }

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1.5 = 5/m₂

m₂ = 3.33 kg

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From the steam table,

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Entropy = mass* (S₂ - S₁)

Entropy = 3.33* (4.102 - 3.2548)

Entropy = 2.821 kJ/K

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