City Guilds Model Questions Vol1 2020 Engineering Question 50

Practice objective / multiple choice question 50 from the 2020 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2020 Engineering Objective / Multiple Choice Medium Difficulty
Question 50 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2020 • ENGINEERING • objective

A heat engine operates between a high‑temperature reservoir at \(500^{\circ}\text{C}\) and a low‑temperature reservoir at \(30^{\circ}\text{C}\). Its actual thermal efficiency is 70 % of the Carnot efficiency. The engine delivers a mechanical power output of \(150\) kW. (a) Determine the rate of heat extracted from the high‑temperature reservoir (in kW). (b) Determine the rate of heat rejected to the low‑temperature reservoir (in kW). (c) If the fuel used has a heating value of \(42\) MJ kg⁻¹ and the combustion process is 85 % efficient, calculate the required fuel mass flow rate in kg s⁻¹ (give the answer to three significant figures).

Answer Options

Correct Answer A. Q_in ≈ 352.5 kW; Q_out ≈ 202.5 kW; fuel flow ≈ 9.87×10⁻³ kg s⁻¹
B. Q_in ≈ 300 kW; Q_out ≈ 150 kW; fuel flow ≈ 8.50×10⁻³ kg s⁻¹
C. Q_in ≈ 400 kW; Q_out ≈ 250 kW; fuel flow ≈ 1.12×10⁻² kg s⁻¹
D. Q_in ≈ 360 kW; Q_out ≈ 210 kW; fuel flow ≈ 1.00×10⁻² kg s⁻¹
Correct Answer
A
Correct Option:
Q_in ≈ 352.5 kW; Q_out ≈ 202.5 kW; fuel flow ≈ 9.87×10⁻³ kg s⁻¹

About This Question

This is City Guilds Model Questions Vol1 2020 Engineering Question 50. It is one of the objective questions from the 2020 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support