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(a) A helium balloon has a total mass Mb= 130 kg (including its load and the mass of Helium); how large should its volume be for the balloon to be able to lift in air from sea level? (b) Estimate (one significant digit) the volume that the same balloon must have to reach an altitude of 8000 m. (c) A meteorite made of iron, with mass Mmet = 100 kg and initial temperature Tmet 3000 K, falls into a large lake with temperature Tlake=300 K. Estimate the total entropy change as the meteorite temperature reaches the lake temperature (Hint: use In(10) = 2.3).

(a) A helium balloon has a total mass Mb= 130 kg (including its load and the mass of Helium); how large should its volume be for the balloon to be able to lift in air from sea level? (b) Estimate (one significant digit) the volume that the same balloon must have to reach an altitude of 8000 m. (c) A meteorite made of iron, with mass Mmet = 100 kg and initial temperature Tmet 3000 K, falls into a large lake with temperature Tlake=300 K. Estimate the total entropy change as the meteorite temperature reaches the lake temperature (Hint: use In(10) = 2.3).

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Can you explain in detail part B and C please
Problem 4-Fluids and Heat (a) A helium balloon has a total mass Mb= 130 kg (including its load and the mass of Helium); how large should its volume be for the balloon to be able to lift in air from sea level? (b) Estimate (one significant digit) the volume that the same balloon must have to reach an altitude of 8000 m. (c) A meteorite made of iron, with mass Mmet = 100 kg and initial temperature Tmet-3000 K, falls into a large lake with temperature Tlake=300 K. Estimate the total entropy change as the meteorite temperature reaches the lake temperature (Hint: use In(10) = 2.3). Problem 5 - Thermodynamics One mole of monoatomic ideal gas undergoes a cyclic transformation in three steps in the P-V diagram. The initial state A has volume VA = 1.0 m³ and temperaturo T₁-10x10³ K The first sten AB is an isobaric expansion. The second step B → C, is an adiabatic expansion, and the temperature of state C
Transcribed Image Text:Problem 4-Fluids and Heat (a) A helium balloon has a total mass Mb= 130 kg (including its load and the mass of Helium); how large should its volume be for the balloon to be able to lift in air from sea level? (b) Estimate (one significant digit) the volume that the same balloon must have to reach an altitude of 8000 m. (c) A meteorite made of iron, with mass Mmet = 100 kg and initial temperature Tmet-3000 K, falls into a large lake with temperature Tlake=300 K. Estimate the total entropy change as the meteorite temperature reaches the lake temperature (Hint: use In(10) = 2.3). Problem 5 - Thermodynamics One mole of monoatomic ideal gas undergoes a cyclic transformation in three steps in the P-V diagram. The initial state A has volume VA = 1.0 m³ and temperaturo T₁-10x10³ K The first sten AB is an isobaric expansion. The second step B → C, is an adiabatic expansion, and the temperature of state C
T=2( 25 10. S Problem 4-Fluids and Heat (2) According to Archimades principle Vballon Pair > Mbalbon Valbon > 130 kg 1.3 12/² Valbon 1.0 S 130 kg Pair (h) (b) If the balbon is to reach an elevation h = 2000 m, then it must be 3 100 m Problem 5-Thermody ^. Now, according to Stenn's law applied to the atmosphere, assuming that we ob hin Pair (9)a Par (y), namies 4- Therefore Vbelon is =-100x (C) The change mx entropy of the meteorite Пако Monet Ciron o AS met met AS env = (6) Mozlbon е Po 100 m² e x 450 Par (y) = Pair (0) e-9/L 100 Лук 450 whare L = Po/pog = 10 ° Pa/1.3 kg/x3.80/= +4×105 J/K kg/m³ = 8x10³m (Po-Par (0)) 5 Ashot =+3x105 5/k ASCA J = - 4.5 (ln 10) × 10" J/K AT Mmeet Ciron Паке c J K AE Qca h/L x WCA T 2700 300 ~270m ln (107 = 5 = -nRln 3 Ve VA
Transcribed Image Text:T=2( 25 10. S Problem 4-Fluids and Heat (2) According to Archimades principle Vballon Pair > Mbalbon Valbon > 130 kg 1.3 12/² Valbon 1.0 S 130 kg Pair (h) (b) If the balbon is to reach an elevation h = 2000 m, then it must be 3 100 m Problem 5-Thermody ^. Now, according to Stenn's law applied to the atmosphere, assuming that we ob hin Pair (9)a Par (y), namies 4- Therefore Vbelon is =-100x (C) The change mx entropy of the meteorite Пако Monet Ciron o AS met met AS env = (6) Mozlbon е Po 100 m² e x 450 Par (y) = Pair (0) e-9/L 100 Лук 450 whare L = Po/pog = 10 ° Pa/1.3 kg/x3.80/= +4×105 J/K kg/m³ = 8x10³m (Po-Par (0)) 5 Ashot =+3x105 5/k ASCA J = - 4.5 (ln 10) × 10" J/K AT Mmeet Ciron Паке c J K AE Qca h/L x WCA T 2700 300 ~270m ln (107 = 5 = -nRln 3 Ve VA
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