How much heat transfer occurs to the environment per day by an electrical power station that uses 1.2 * 1014 J of heat transfer into the engine with an efficiency of 42%? How much electrical energy is generated per day?

Given: The total amount of heat transfer is 1.2×1014 J. The efficiency of the engine is 42%.…

Answered: How much heat transfer occurs to the…

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

Related questions

Question

How much heat transfer occurs to the environment per day by an electrical power station that uses 1.2 * 10¹⁴ J of heat transfer into the engine with an efficiency of 42%? How much electrical energy is generated per day?

Expert Solution

Step 1

Given:

The total amount of heat transfer is $1.2 \times 10^{14} J$ .

The efficiency of the engine is $42 %$ .

Introduction:

The efficiency of an engine is the ratio of the output to the input of the machines, the efficiency represents the amount of desired out has been obtained.

Step 2

Calculation:

The amount of heat transferred to the environment is the energy that has not been used.

Write the expression for the energy transferred to the environment.

$H_{e} = (1 - η) H_{t}$

Here, $H_{e}$ is the heat transferred to the environment, $η$ is the efficiency and $H_{t}$ is the total heat.

Substitute, $1.2 \times 10^{14} J$ for $H_{t}$ and $42 %$ for $η$ in the above expression.

$H_{e} = (1 - \frac{42}{100}) (1.2 \times 10^{14} J) H_{e} = 6.96 \times 10^{13} J$

Thus, the heat transferred to the environment is $6.96 \times 10^{13} J$ .

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions