2.5 L of 100°C boiling water together with other ingredients are put into a 5 L press cooker and then sealed to prepare a pot of Chinese style soup. 1.5 mL of water was t evaporated in the cooker after an hour. Assume no energy is lost to the surroundings. (a) How much energy is required to vaporize 1.5 mL of water at 100°C? (b) Assume the initial temperature inside the cooker is also at 100°C, how many mole: gases are stored inside the pressure cooker in the beginning? ( (c) What is the pressure inside the cooker after an hour? (d) Using your knowledge of ideal gas law and energy associated with gas, briefly exp why the pressure cooker can cook food more efficiently.

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Chapter1: Units, Trigonometry. And Vectors
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2.5 L of 100°C boiling water together with other ingredients are put into a 5 L pressure
cooker and then sealed to prepare a pot of Chinese style soup. 1.5 mL of water was then
evaporated in the cooker after an hour. Assume no energy is lost to the surroundings.
(a) How much energy is required to vaporize 1.5 mL of water at 100°C?
(b) Assume the initial temperature inside the cooker is also at 100°C, how many moles of
gases are stored inside the pressure cooker in the beginning?
(c) What is the pressure inside the cooker after an hour?
(d) Using your knowledge of ideal gas law and energy associated with gas, briefly explain
why the pressure cooker can cook food more efficiently.
Transcribed Image Text:2.5 L of 100°C boiling water together with other ingredients are put into a 5 L pressure cooker and then sealed to prepare a pot of Chinese style soup. 1.5 mL of water was then evaporated in the cooker after an hour. Assume no energy is lost to the surroundings. (a) How much energy is required to vaporize 1.5 mL of water at 100°C? (b) Assume the initial temperature inside the cooker is also at 100°C, how many moles of gases are stored inside the pressure cooker in the beginning? (c) What is the pressure inside the cooker after an hour? (d) Using your knowledge of ideal gas law and energy associated with gas, briefly explain why the pressure cooker can cook food more efficiently.
Take:
(1) acceleration due to gravity g = 9.8 m/s²
(2) density of water pwater at 25°C = 1 × 10³ kg/m³
(3) density of water pwater at 100°C = 0.958 g/mL
(4) specific heat of water Lwater = 4.19 J/g.°℃
(5) 0°C 273.15 K
(6) 1 calorie = 4.184 J
(7) R = 0.0821 L·atm / K·mol
-
Transcribed Image Text:Take: (1) acceleration due to gravity g = 9.8 m/s² (2) density of water pwater at 25°C = 1 × 10³ kg/m³ (3) density of water pwater at 100°C = 0.958 g/mL (4) specific heat of water Lwater = 4.19 J/g.°℃ (5) 0°C 273.15 K (6) 1 calorie = 4.184 J (7) R = 0.0821 L·atm / K·mol -
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