Question

The heating element of a coffeemaker operates at 110 V and carries a current of 1.97...

The heating element of a coffeemaker operates at 110 V and carries a current of 1.97 A. Assuming that all of the energy transferred from the heating element is absorbed by the water, calculate how long it takes to heat 0.525 kg of water from room temperature (20.1 °C) to the boiling point. Hint: Assume the heat capacity of water to be 4186. J/(kg*C)).

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given mass of water m = 0.525

change in temperature is (T2 - T1) = (100 - 20.1)


heat capacity c = 4186 J/(kg*C)


The amount of heat required for this water is

Q = m * c * (T2-T1)

Q = 0.525 * 4186 * (100-20.1)

Q = 175592.235 J

The heating element supplies the energy at the rate of

power P = V * I

P = 110 * 1.97

P = 216.7 J/s

This is the amount of energy supplid per second

To get an amount of 175592.235 (it takes 't' s) so


216.7 * t = 175592.235

t = 810.3 s

t = 810.3/60 minutes

t = 13.5 min

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A stove top heating element (electric heating) gives off heat at a rate of 2250 W....
A stove top heating element (electric heating) gives off heat at a rate of 2250 W. If you place an iron skillet that's full of water on this heating element then how long would it take to heat both up from 22°C to 83°C? The iron skillet has a mass of 1.5 kg and a specific heat of 450 J/kg • K. The water has a mass of 1.1 kg and a specific heat of 4186 J/kg • K.
110 grams of boiling water (temperature 100°C, heat capacity 4.2 J/gram/K) are poured into an aluminum...
110 grams of boiling water (temperature 100°C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 930 grams and initial temperature 26°C (the heat capacity of aluminum is 0.9 J/gram/K). (a) After a short time, what is the temperature of the water? Entry field with correct answer °C (c) Next you place the pan on a hot electric stove. While the stove is heating the pan, you use a beater to stir the water, doing 19638...
The current in an electromagnet connected to a240-V line is 22.5 A . At what rate...
The current in an electromagnet connected to a240-V line is 22.5 A . At what rate must cooling water pass over the coils if the water temperature is to rise by no more than7.50 ∘C ? The specific heat of water is 4186 J/(kg⋅∘C).
How many joules heat must be added to 2.0 kg of ice at a temperature of...
How many joules heat must be added to 2.0 kg of ice at a temperature of -30 °C to bring it to room temperature 20 °C? (Specific heat capacity of ice is 2100 J/kg °C). (Specific heat capacity of water is 4186 J/kg °C). (Latent heat of water-ice is 3.33x105 J/kg) Group of answer choices 126.52 kJ 959.44 kJ 4293.44 kJ 668.78 kJ
An iron boiler of mass 180 kg contains 770 kg of water at 21 ∘C. A...
An iron boiler of mass 180 kg contains 770 kg of water at 21 ∘C. A heater supplies energy at the rate of 58,000 kJ/h. The specific heat of iron is 450 J/kg⋅C∘, the specific heat of water is 4186 J/kg⋅C∘, the heat of vaporization of water is 2260 kJ/kg⋅C∘. Assume that before the water reaches the boiling point, all the heat energy goes into raising the temperature of the iron or the steam, and none goes to the vaporization...
An iron boiler of mass 180 kg contains 770 kg of water at 21 ∘C. A...
An iron boiler of mass 180 kg contains 770 kg of water at 21 ∘C. A heater supplies energy at the rate of 58,000 kJ/h. The specific heat of iron is 450 J/kg⋅C∘, the specific heat of water is 4186 J/kg⋅C∘, the heat of vaporization of water is 2260 kJ/kg⋅C∘. Assume that before the water reaches the boiling point, all the heat energy goes into raising the temperature of the iron or the steam, and none goes to the vaporization...
An iron boiler of mass 180 kg contains 850 kg of water at 23 ∘C. A...
An iron boiler of mass 180 kg contains 850 kg of water at 23 ∘C. A heater supplies energy at the rate of 58,000 kJ/h. The specific heat of iron is 450 J/kg⋅C∘, the specific heat of water is 4186 J/kg⋅C∘, the heat of vaporization of water is 2260 kJ/kg⋅C∘. Assume that before the water reaches the boiling point, all the heat energy goes into raising the temperature of the iron or the steam, and none goes to the vaporization...
An iron boiler of mass 180 kg contains 790 kgof water at 21 ∘C. A heater...
An iron boiler of mass 180 kg contains 790 kgof water at 21 ∘C. A heater supplies energy at the rate of 58,000 kJ/h. The specific heat of iron is 450 J/kg⋅C∘, the specific heat of water is 4186 J/kg⋅C∘, the heat of vaporization of water is 2260 kJ/kg⋅C∘. Assume that before the water reaches the boiling point, all the heat energy goes into raising the temperature of the iron or the steam, and none goes to the vaporization of...
A 5.5-kW water heater operates at 240 V. i. Should the heater circuit have a 20A...
A 5.5-kW water heater operates at 240 V. i. Should the heater circuit have a 20A or a 30A circuit breaker? [2 marks] ii. Assuming 85% efficiency, how long will the heater take to heat the water in a 0.2085-m3 tank from 20°C to 80°C? The density of water is 1,000 kg/m3 and the specific heat capacity is 4,200 J/kg/°C.
The current in an electromagnet connected to a 240-V line is 17.5 A . Part A...
The current in an electromagnet connected to a 240-V line is 17.5 A . Part A At what rate must cooling water pass over the coils if the water temperature is to rise by no more than 7.50 ∘C ? The specific heat of water is 4186 J/(kg⋅∘C). Express your answer using three significant figures. mt =_____ kgs
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT