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Report 7 Two flasks. Team Taiwan Franklin Liou. Problem # 7. H. H. h. ?. ?. Investigate and describe in which tube the water goes up faster and in which the final height is greater. How does this effect depend on the time of heating?. Overview. Introduction Experiment
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Report 7Two flasks • Team Taiwan • Franklin Liou
Problem # 7 H H h ? ? Investigate and describe in which tube the water goes up faster and in which the final height is greater. How does this effect depend on the time of heating?
Overview • Introduction • Experiment • Experimental Setup • Experiment • Results and Discussion • Conclusions & Summary
Experiment Setup The heating apparatus and sensors • Pressure sensor • Thermocouple • 1300ml flask (200ml water) • Hot plate • Oil bath (for heating dry flask)
Experiment Setup Water reservoir Transparent tube and long ruler
Experiment • Initial conditions: 100 oC • Conditions • Flask with and without water • Heating time after reaching 100 oC(1min, 2min, 5min) • Data • Temperature-Time curve • Pressure-Time curve • Water height-Time curve
Experiment Results: Dry Flask • Height-Time curve is roughly a saturation curve • Maximum height: 1.72m • Temperature-Time curve is roughly an exponential decay • Max: 103oC, Min:31oC • Decay rate:0.0026
Experiment Results: Dry Flask • Pressure-Time curve is roughly an exponential decay • Maximum pressure: 103 kPa • Minimum pressure: 84 kPa
Experiment Results: Wet Flask • Temperature-Time curve is roughly an exponential decay • Max: 100oC, Min:31oC • Decay rate:0.0011 • Height-Time curve is roughly a saturation curve • Maximum height: 8.6m
Experiment Results: Wet Flask • Pressure-Time curve is roughly an exponential decay • Maximum pressure: 101 kPa • Minimum pressure: ~ 5 kPa
Results and Discussion • Newton’s Law of Cooling: We can obtain the decay rate , and hence the approximate T(t) function Square of residual: 0.99974
Dry flask • Ideal gas law: expansion of dry air~1900Pa h h • A cross section of tube • R: Ideal gas constant • T: temperature at a given time • V0: initial volume • P0:initial pressure • N1: initial mole of gas
Dry Flask Results H=64.86-5.00*Sqrt(159.67+7.36*Exp(-0.0312t))
Wet flask • Water vapor can fill almost all volume -> condense -> large pressure difference~101300Pa • Antoine equation: • Assuming water vapor replaces all air
Conclusions & Summary • Two flaks : two mechanisms • Dry flask: expansion of air~ 1.9 kPa • Wet flask: condensation of vapor~ 101300 Pa • Water rises faster in wet flask condition • Maximum water height is greater in wet flask • Maximum water height and water rising speed is independent of time of heating