Answered: An electric geyser/electric storage…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

An electric geyser/electric storage tank water heater is used to raise the temperature of 150 litres of water from 20°C to 55°C in 2 hours and 3 minutes. The supply voltage is 230 V and the efficiency of the geyser is 90.5 %. Assume the specific heat capacity of water to be 4.19 kJ/kg.K and one litre of water to have a mass of 1 kg.
Calculate the rated power (power supplied) of the geyser

Expert Solution

Step 1

According to question:

Note: The question is solved by understanding rated power of geyser means the output power of geyser.

The heat required to raise the temperature of water from 20 degree Celsius = 290K to 55 degree Celsius = 328K is calculated as

$∵ Q = m c ∆ T \Rightarrow Q = 1 \times 4.19 \times 10^{3} \times [328 - 293] \Rightarrow Q = 0.14665 \times 10^{6} J \Rightarrow Q = \frac{0.14665 \times 10^{6}}{3.6 \times 10^{6}} kWh \Rightarrow Q = 0.040736 kWh$