please solve complete in one hour
Posted: Tue Apr 12, 2022 9:56 am
please solve complete in one hour
* In a lighter, the fuel butane is typically present in two phases. In simplified terms, the fuel container of the lighter shown opposite can be described as a cuboid. The base area is square with a side length of a = 2.0 cm. The height of the cuboid is h = 8.0 cm. In state 1, the fire has generates a temperature of t = 15.0°C. Dera The vapour content of the butane is Xi = 0.07. h hP G Hint: - Round the results to three decimal places (e.g. 1023.300, 58.189 or 0.015) unless otherwise stated. a) b) What is the pressure p in the system in state 1 (in bar)? [ Determine the density of the liquid p', and the density of the gas p in state 1 (both in kg/m3). Determine the total mass mof butane in state 1 (ing). [ At what height hpg, is the phase boundary in state 1 (in cm)? c) d) In the following parts of the task, continue calculating exclusively with the following values for state 1. The geometric dimensions do not change. Pi pi 60.07 kg/m3 7.137 kg/m3 pl 1.9228 567.0 kg/m3 0.1076 2.83 bar X1 pi ti 30.0°C e) The housing of the lighter can just withstand a pressure of Pberst = 42 bar. At what temperature Tberst is this pressure reached if the total mass mı does not change? (in K)? What is the maximum quantity of 12 tbe added to the butane from state 1 until the container bursts (state 2) (in kJ)? f)
g) After n = 497 candles have been lit with the lighter, they contain only just saturated gas (state 3). The change in state 1 → 3 was isothermal. How many millilitres of butane gas left the container per candle on average (in ml)? What quantity of 13 must be added to the butane for this change of state (1 3) (in kJ)? h) Notes: - Abbreviation: PG (phase boundary) - Substance data can be taken from the following two tables. If necessary, interpolate linearly. Substance data butane Critical data Butane: tcrit = 152.0 C; Parit = 228.0 kg/m3; Parit = 37.96 bar Single-phase tp S P kg/m3 58.89 h kJ/kg Cbar kJ/(kg K) 3.341 281.25 40.0 1161.2 275.10 40.0 60.07 70.39 1142.9 1019.9 40.0 233.47 184.08 3.308 3.075 2.760 40.0 95.82 868.6 156.18 731.4 2.449 40.0 42.0 183.21 58.89 299.83 1214.6 3.430 293.19 60.07 1194.5 3.395 3.147 248.08 70.39 1059.7 42.0 42.0 42.0 42.0 2.810 193.59 160.20 95.82 183.21 893.5 742.6 2.472 Two-phase kJ/kg 5.0 Ipp' Cbarkg/m3 1.24 595.3 1.48 589.8 1.76 584.3 592.4 pl kg/m3 3.278 3.873 4.549 5.313 10.0 h! kJ/kg 211.6 223.4 235.3 247.3 259.5 599.5 15.0 606.7 20.0 2.08 578.6 613.8 25.0 2.43 6.172 620.9 2.83 7.137 30.0 35.0 40.0 572.8 567.0 561.0 554.9 271.8 284.2 3.28 8.215 9.418 628.1 635.2 642.3 3.78 296.8
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g) After n = 497 candles have been lit with the lighter, they contain only just saturated gas (state 3). The change in state 1 → 3 was isothermal. How many millilitres of butane gas left the container per candle on average (in ml)? What quantity of 13 must be added to the butane for this change of state (1 3) (in kJ)? h) Notes: - Abbreviation: PG (phase boundary) - Substance data can be taken from the following two tables. If necessary, interpolate linearly. Substance data butane Critical data Butane: tcrit = 152.0 C; Parit = 228.0 kg/m3; Parit = 37.96 bar Single-phase tp S P kg/m3 58.89 h kJ/kg Cbar kJ/(kg K) 3.341 281.25 40.0 1161.2 275.10 40.0 60.07 70.39 1142.9 1019.9 40.0 233.47 184.08 3.308 3.075 2.760 40.0 95.82 868.6 156.18 731.4 2.449 40.0 42.0 183.21 58.89 299.83 1214.6 3.430 293.19 60.07 1194.5 3.395 3.147 248.08 70.39 1059.7 42.0 42.0 42.0 42.0 2.810 193.59 160.20 95.82 183.21 893.5 742.6 2.472 Two-phase kJ/kg 5.0 Ipp' Cbarkg/m3 1.24 595.3 1.48 589.8 1.76 584.3 592.4 pl kg/m3 3.278 3.873 4.549 5.313 10.0 h! kJ/kg 211.6 223.4 235.3 247.3 259.5 599.5 15.0 606.7 20.0 2.08 578.6 613.8 25.0 2.43 6.172 620.9 2.83 7.137 30.0 35.0 40.0 572.8 567.0 561.0 554.9 271.8 284.2 3.28 8.215 9.418 628.1 635.2 642.3 3.78 296.8