The heating element of a coffeemaker operates at 120 V and carries a current of 3.70 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.692 kg of water from room temperature (23.0°C) to the boiling point. Step 1 The energy required to raise the temperature of an amount of water of mass m, from T, = 23.0°C to the boiling point, T = 100°C, is Q = m„C„(AT), where the specific heat of water c, = 4186 J/kg · °C. We have Q = mCw(AT) = mC(T - T) .692 0.692 kg)(4186 J/kg · °C)(77v 7기 0C 3D 2.23 V 2.23 x 105 J. Step 2 The rate P at which the heating element converts electrical potential energy into the internal energy of the water is P = (AV)I = 120 120 V 3.7 3.7 A) = 444 V 444 J/s.

The heating element of a coffeemaker operates at 120 V and carries a current of 3.70 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.692 kg of water from room temperature (23.0°C) to the boiling point. Step 1 The energy required to raise the temperature of an amount of water of mass m, from T, = 23.0°C to the boiling point, T = 100°C, is Q = m„C„(AT), where the specific heat of water c, = 4186 J/kg · °C. We have Q = mCw(AT) = mC(T - T) .692 0.692 kg)(4186 J/kg · °C)(77v 7기 0C 3D 2.23 V 2.23 x 105 J. Step 2 The rate P at which the heating element converts electrical potential energy into the internal energy of the water is P = (AV)I = 120 120 V 3.7 3.7 A) = 444 V 444 J/s.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

7. A current is injected into the arrangement of six resistors shown in the figure. The resistances are R₁ = 25 N, R₂ = 30N, R3 = 40, R4 = 60, and R5 = 502. If the heat generated in resistor R5 is equal to P = 2 W, how much current i is injected? (1) 0.4 A (2) 50 mA (3) 0.2 A (4) 0.7 A www i R1 i R6 ww ww R2 R4 R3 R5 (5) 3 A
A certain metal has a temperature coefficient of resistivity of 0.0064 (°C) -1. A wire made from that material is connected to a source of constant voltage via a switch. At the instant the switch is closed, the temperature of the wire is 27 °C, and the initial power dissipated in the wire is Po. At what wire temperature has the power dissipated in the wire decreased to (1/2)Po? Number Units
1. Two cylindrical bars, each with diameter of 2.20 cm, are welded together end to end. One of the original bars is copper and is 0.380 m long. The other bar is iron and is 0.190 m long. What is the resistance between the ends of the welded bar at 20°C? (The resistivity of copper and iron can be obtained from the textbook) Ω
A length of aluminum wire has a resistance of 28.0 Ω at 32.0°C. When the wire is warmed in an oven and reaches thermal equilibrium, the resistance of the wire increases to 43.1 Ω. (a) Neglecting thermal expansion, find the temperature of the oven. °C(b) Qualitatively, how would thermal expansion be expected to affect the answer?
When initially at 20°C, the power being supplied to a 691 Ohm resistor in a circuit is 8.29 W. Over time, the temperature of the resistor increase to 168°C. If the temperature coefficient of resistivity of the material composing the resistor is 5.75 x 10-3 °C-1, what power is supplied to the resistor at its operating temperature?