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)...
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![**Question:** An ideal Carnot heat engine operates between 385 K and 460 K. What is its efficiency?
**Options:**
- ○ 0.61
- ○ 0.38
- ○ 0.62
- ○ 0.16
**Explanation:**
The question is asking for the efficiency of an ideal Carnot heat engine that operates between two temperatures, 385 K and 460 K. There are four multiple-choice options, each representing a possible efficiency value.
To find the efficiency (\( \eta \)) of a Carnot engine, we use the formula:
\[ \eta = 1 - \frac{T_C}{T_H} \]
where:
- \( T_H \) is the absolute temperature of the hot reservoir (460 K)
- \( T_C \) is the absolute temperature of the cold reservoir (385 K)
Substituting in the values:
\[ \eta = 1 - \frac{385}{460} \]
\[ \eta = 1 - 0.837 \]
\[ \eta = 0.163 \]
Therefore, the closest value from the options provided is:
- ○ 0.16](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec99e2ce-f146-4dfd-8358-2828b726596b%2F4b0c8d3e-4122-40f0-89ed-8f980fb776bf%2Flosacpv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:** An ideal Carnot heat engine operates between 385 K and 460 K. What is its efficiency?
**Options:**
- ○ 0.61
- ○ 0.38
- ○ 0.62
- ○ 0.16
**Explanation:**
The question is asking for the efficiency of an ideal Carnot heat engine that operates between two temperatures, 385 K and 460 K. There are four multiple-choice options, each representing a possible efficiency value.
To find the efficiency (\( \eta \)) of a Carnot engine, we use the formula:
\[ \eta = 1 - \frac{T_C}{T_H} \]
where:
- \( T_H \) is the absolute temperature of the hot reservoir (460 K)
- \( T_C \) is the absolute temperature of the cold reservoir (385 K)
Substituting in the values:
\[ \eta = 1 - \frac{385}{460} \]
\[ \eta = 1 - 0.837 \]
\[ \eta = 0.163 \]
Therefore, the closest value from the options provided is:
- ○ 0.16
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