1. A certain gasoline engine has an efficiency of 31%. What would the hot reservoir temperature be for a Carnot engine having that efficiency, if it operates with a cold reservoir temperature of 210 °C? THE = °℃
1. A certain gasoline engine has an efficiency of 31%. What would the hot reservoir temperature be for a Carnot engine having that efficiency, if it operates with a cold reservoir temperature of 210 °C? 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)...
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**Problem 1: Efficiency of a Gasoline Engine**
A certain gasoline engine has an efficiency of 31%. What would the hot reservoir temperature be for a Carnot engine having that efficiency, if it operates with a cold reservoir temperature of 210 °C?
\[ T_H = \]
[Text Box Field] °C
*Instructions: Complete the text box with the correct temperature in °C.*
---
**Explanation:**
This task involves calculating the hot reservoir temperature for a Carnot engine with a given efficiency and a specified cold reservoir temperature. The cold reservoir temperature provided is 210 °C. The efficiency of the Carnot engine is 31%. A text box field is provided for students to enter their calculated temperature in °C.
---
Note: Please ensure to apply the Carnot efficiency formula to derive the required hot reservoir temperature:
\[ \eta = 1 - \frac{T_C}{T_H} \]
Where:
- \( \eta \) is the efficiency (31% or 0.31)
- \( T_C \) is the cold reservoir temperature in Kelvins (K)
- \( T_H \) is the hot reservoir temperature in Kelvins (K)
To convert temperatures from Celsius to Kelvin, use:
\[ T(K) = T(°C) + 273.15 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd88a7a9a-3f1e-4a05-9f09-8e85dfb857a6%2Fa267fa76-01f3-40b9-af93-8a3ad40ff0f1%2Ft4aw9hp_processed.png&w=3840&q=75)
Transcribed Image Text:---
**Problem 1: Efficiency of a Gasoline Engine**
A certain gasoline engine has an efficiency of 31%. What would the hot reservoir temperature be for a Carnot engine having that efficiency, if it operates with a cold reservoir temperature of 210 °C?
\[ T_H = \]
[Text Box Field] °C
*Instructions: Complete the text box with the correct temperature in °C.*
---
**Explanation:**
This task involves calculating the hot reservoir temperature for a Carnot engine with a given efficiency and a specified cold reservoir temperature. The cold reservoir temperature provided is 210 °C. The efficiency of the Carnot engine is 31%. A text box field is provided for students to enter their calculated temperature in °C.
---
Note: Please ensure to apply the Carnot efficiency formula to derive the required hot reservoir temperature:
\[ \eta = 1 - \frac{T_C}{T_H} \]
Where:
- \( \eta \) is the efficiency (31% or 0.31)
- \( T_C \) is the cold reservoir temperature in Kelvins (K)
- \( T_H \) is the hot reservoir temperature in Kelvins (K)
To convert temperatures from Celsius to Kelvin, use:
\[ T(K) = T(°C) + 273.15 \]
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