A heat engine operating on the basis of the Carnot cycle is designed by a mechanical engineering student. The student uses an electrical resistor operating at 150 °C as the hot thermal reservoir and a large block of ice at 0 °C as the cold thermal reservoir. The heat that comes out of the engine melts the ice at a rate of 100 g/min. What is the work produced by the engine in 10 minutes?
An ideal and reversible heat engine absorbs 7000 J of heat and operates between two thermal pools. The high-temperature source is at 420 °C, and the sink is at 300 °C. Find the efficiency (e) of this engine.
In each cycle, a Carnot engine withdraws 3500 J of heat from a high-temperature source at 450 K and delivers an amount of heat (Q) to a heat sink at a temperature of 320 K. In each cycle, how many joules are delivered to the heat sink?
Evaluate the heat engine shown in the figure and determine whether it follows (i) the first law or (ii) the second law of thermodynamics.
Consider a heat engine that operates on a Carnot cycle. The engine's thermal efficiency is 35% when the temperature of the hot reservoir is 450℃. To increase the efficiency to 65%, determine the necessary reduction in the temperature of the cold reservoir.
A rocket engine combusts fuel at a temperature of 3,000°C. It is cooled by liquid hydrogen at a temperature of -250°C. The rocket lifts a payload of 5000 kg to an altitude of 100 km. How much heat energy is transferred to the engine by burning fuel if the engine is 50% as efficient as a Carnot engine? Assume that the specific heat capacity of the rocket exhaust gases is 1.0 kJ/(kg•K) and that the gravitational acceleration is 9.8 m/s2.
A Carnot engine works between a high-temperature reservoir at 700 K and a low-temperature reservoir at 300 K. If the engine is 100% efficient and extracts 50 J of energy from the hot reservoir per cycle, determine the number of cycles needed to displace a 20 kg mass by 12 m.
