The calorie is the unit of energy defined as the amount of energy needed to raise...
The calorie is the unit of energy defined as the amount of energy needed to raise 1 g of water by 1 K.
a. How many calories are required to bring a pot of water initially at 274 K to a boil? The pot is full to the brim, with a diameter of 20 cm and a depth of 20 cm. The density of water is 1000 g per cubic centimeter.
b. If we consider that D for the pot is 20 cm, approximately how much more energy is needed to heat a hot tub with D = 2 m? How many calories is that?
c. If energy costs $0.10 per kilowatt-hour, how much does it cost to heat this hot tub?
d. How does the price (in dollars) of heating the hot tub scale with the tub's characteristic dimension?
e. What percentage of the cost of heating the hot tub would be saved by reducing the tub's characteristic dimension by 33%
Homework Answers
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The calorie is the unit of energy defined as the amount of
energy needed to raise...
(+30) You have a half-filled hot tub that is cold (T-25 "C). You have two ways...
(+30) You have a half-filled hot tub that is cold (T-25 "C). You have two ways of heating it up: add more hot water (maximum T = 45 "C) and/or turn on the electric heater (5 kW). The total water capacity of your well-insulated hot tub is 1.0 m3, and the desired water temperature is 38"c. a. If you just use the electric heating element to heat up the existing water, without adding any new hot water: i. (+8) How...
Consider two cooking pots of the same dimensions, each containing the same amount of water at...
Consider two cooking pots of the same dimensions, each containing the same amount of water at the same initial temperature. The bottom of the first pot is made of copper, while the bottom of the second pot is made of aluminum. Both pots are placed on a hot surface having a temperature of 130 C. The water in the copper-bottomed pot bols away completely in 525 s. How long does it take the water in the aluminum-bottomed pot to boil...
10. A calorie, defined in terms of water, is actually a metric system unit of energy....
10. A calorie, defined in terms of water, is actually a metric system unit of energy. True False 12.The temperature T = 273 K on the Kelvin scale corresponds to A. specific heat of water. B.boiling point of water. C.absolute zero. D.freezing point of water.
4. Determine how many calories of heat are needed to raise the temperature of 250. mL...
4. Determine how many calories of heat are needed to raise the temperature of 250. mL of water from 25°C to 45°C. Specific heat (C) of H2O is 1.00 calorie/g°C. q=C x mass x At. 4 SC -29 250
Piece #3 (1 pt): I put an ice cube in my soda. If the ice cube...
Piece #3 (1 pt): I put an ice cube in my soda. If the ice cube gains 1000 J of heat, how much heat does the soda lose? Piece #4 (1 pt): How much energy would be required to raise the temperature of 1.00 kg of water from 20°C to 45°C? Piece #5 (1 pt): How much electrical energy would I need to raise the temperature of 1.00 kg of water from 20°C to 45°C if my heater was only...
It takes 100,000 calories to raise 1 kilogram of water by 100 degree C. How many...
It takes 100,000 calories to raise 1 kilogram of water by 100 degree C. How many calories does it take to raise the temperature of an equal volume of lead by 100 degree C? And how many calories to raise an equal weight of lead by 100 degree C? Explain the difference between a calorie and a Calorie. What units are used to describe the heat (or energy)value of food? A ten foot pole is jammed under a 200 pound...
At 1 atm, how much energy is required to heat 0.0550 kg of ice at -22.0...
At 1 atm, how much energy is required to heat 0.0550 kg of ice at -22.0 °C to steam at 129.0 °C? STRATEGY 1. Calculate the energy needed for each temperature change or phase change individually. A. The energy needed to heat 0.0550 kg of ice from -22.0 C to its melting point. B. The energy needed to melt 0.0550 kg of ice at its melting point C. The energy needed to heat 0.0550 kg of liquid water from the...
Power and Energy in circuits (NO calculations)
A device for heating a cup of water in a car connects to the car's battery, which has an emf = 10.0 and an internal resistance = 0.06 . The heating element that is immersed in the cup of water is a resistivecoil with resistance .David wants to experiment with the device, so he connects an ammeter into the circuit and measures 12.0 when the device is connected to the car's battery. From this, he calculates the timeto boil a...
F: How much energy is needed to raise the temperature of the water from 20.0°C to...
F: How much energy is needed to raise the temperature of the water from 20.0°C to 100.0°C? Part E: Suppose the block in part D is made of steel(iron, c = 449 J/kg-K) and has a mass of 0.500 kg and has an initial temperature of 300.0°C. The block is placed into the insulated beaker that holds 50.0 ml of water at 20.0°C. If the metal block were to cool to 100.0°C, how much energy would be transferred to the...
9) How much energy in Kcal is needed to take 340 g of water at 6.0...
9) How much energy in Kcal is needed to take 340 g of water at 6.0 degrees Celsius to steam at 127.0 degrees Celsius? ALSO indicate this process as a heating curve on the axes below. [the specific heat of ice, water and steam are 0.47, 1.00, and 0.48 cal/g oC respectively, Also the Heat of Fusion and Heat of vaporization of water are 80, and 540 cal/g respectively] You may or may not need all of these numbers. hny...
(+30) You have a half-filled hot tub that is cold (T-25 "C). You have two ways of heating it up: add more hot water (maximum T = 45 "C) and/or turn on the electric heater (5 kW). The total water capacity of your well-insulated hot tub is 1.0 m3, and the desired water temperature is 38"c. a. If you just use the electric heating element to heat up the existing water, without adding any new hot water: i. (+8) How...
Consider two cooking pots of the same dimensions, each containing the same amount of water at the same initial temperature. The bottom of the first pot is made of copper, while the bottom of the second pot is made of aluminum. Both pots are placed on a hot surface having a temperature of 130 C. The water in the copper-bottomed pot bols away completely in 525 s. How long does it take the water in the aluminum-bottomed pot to boil...
4. Determine how many calories of heat are needed to raise the temperature of 250. mL of water from 25°C to 45°C. Specific heat (C) of H2O is 1.00 calorie/g°C. q=C x mass x At. 4 SC -29 250
Piece #3 (1 pt): I put an ice cube in my soda. If the ice cube gains 1000 J of heat, how much heat does the soda lose? Piece #4 (1 pt): How much energy would be required to raise the temperature of 1.00 kg of water from 20°C to 45°C? Piece #5 (1 pt): How much electrical energy would I need to raise the temperature of 1.00 kg of water from 20°C to 45°C if my heater was only...
It takes 100,000 calories to raise 1 kilogram of water by 100 degree C. How many calories does it take to raise the temperature of an equal volume of lead by 100 degree C? And how many calories to raise an equal weight of lead by 100 degree C? Explain the difference between a calorie and a Calorie. What units are used to describe the heat (or energy)value of food? A ten foot pole is jammed under a 200 pound...
At 1 atm, how much energy is required to heat 0.0550 kg of ice at -22.0 °C to steam at 129.0 °C? STRATEGY 1. Calculate the energy needed for each temperature change or phase change individually. A. The energy needed to heat 0.0550 kg of ice from -22.0 C to its melting point. B. The energy needed to melt 0.0550 kg of ice at its melting point C. The energy needed to heat 0.0550 kg of liquid water from the...
A device for heating a cup of water in a car connects to the car's battery, which has an emf = 10.0 and an internal resistance = 0.06 . The heating element that is immersed in the cup of water is a resistivecoil with resistance .David wants to experiment with the device, so he connects an ammeter into the circuit and measures 12.0 when the device is connected to the car's battery. From this, he calculates the timeto boil a...
9) How much energy in Kcal is needed to take 340 g of water at 6.0 degrees Celsius to steam at 127.0 degrees Celsius? ALSO indicate this process as a heating curve on the axes below. [the specific heat of ice, water and steam are 0.47, 1.00, and 0.48 cal/g oC respectively, Also the Heat of Fusion and Heat of vaporization of water are 80, and 540 cal/g respectively] You may or may not need all of these numbers. hny...
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