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In an electric espresso machine, a resistor produces the heat to boil the water.

ID: 1770503 • Letter: I

Question

In an electric espresso machine, a resistor produces the heat to boil the water. If the resistor has a power output P of 1200 W, approximately how much time t would it take to completely change the 1.5 kg of water into steam if the initial water temperature is 22° C? Making Espresso Espresso is a coffee beverage made by forcing steam through finely ground coffee beans. Modern espresso makers generate steam at very high pressures and temperatures, but in this problem we'll consider a low-tech espresso machine that only generates steam at 100° C and atomospheric pressure--not much good for making your favorite coffee beverage Give the amount of time required rounded to the nearest minute Hints t= 54 minutes Submit My Answers Give Up The amount of heat Q needed to turn a mass m of room temperature (Ti) water into steam at 100°C (T2) can be found using the specific heat c of water and the heat of vaporization Hy of water at 1 atmosphere of pressure Correct Part C Many people use a natural gas called propane (C3 Hs) to cook with and to heat their homes. The molar mass of propane is 44.1 g/mol. When one mole of propane burns, it releases 2219 kJ of energy If the espresso machine uses propane gas instead of electricity to boil the 1.50 kg of water at an initial temperature of 22.0° C, what mass mpropane of propane gas is needed to change all of the water to steam? Assume that the espresso machine is still a closed, isolated system and that all of the heat released from burning is used to heat the water Express the answer in grams to three significant figures Hints mapropane 3.88.10 Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

Q = [4187 * (100- 22)] * [1.5 + 2258 * 103 * 1.5]

Q = 3.876 * 106 J = 3.88 * 106 J

b) P * time = Q

t = 3.88 * 106 / 1200

time = 3233.33 s = 54 min

c) m/44.1 * 2219 kJ/mol = 3.88 * 106

m/44.1 = = 3.88 * 106 / 2219 kJ/mol

m/44.1 = = 1.748 * 44.1 g

m = 77.11 g

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