   Chapter 17, Problem 38P

Chapter
Section
Textbook Problem

A portable coffee heater supplies a potential difference of 12.0 V across a Nichrome heating clement with a resistance of 2.00 Ω. (a) Calculate the power consumed by the heater. (b) How many minutes would it take to heat 1.00 kg of coffee from 20.0°C to 50.0°C with this heater? Coffee has a specific heat of 4 184J/(kg · °C). Neglect any energy losses to the environment.

(a)

To determine
The power consumed by coffee heater

Explanation

Given Info: The coffee heater supplies a potential difference 12.0V . The resistance if nichrome heating element is 2.00Ω .

Explanation:

Formula to calculate the power consumed is,

P=V2R

• P is the power consumed by coffee heater,
• V is the potential difference applied across the heating element,
• R is the resistance of nichrome heating element,

Substitute 12.0V for V and 2

(b)

To determine
The time taken to heat 1.00kg of coffee from 20.0°C to 50.0°C

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