A heat engine with a thermal efficiency of 25 % is used to hoist 2.5-kg bricks to an elevation o

step 1 In this problem we are given the rate at which it is expelled to the quality desired world is eq

A heat engine with a thermal efficiency of 25 % is used to...

A heat engine with a thermal efficiency of $25 \%$ is used to hoist $2.5-\mathrm{kg}$ bricks to an elevation of $3.0 \mathrm{~m}$. If the engine expels heat to the environment at a rate of $1.2 \times 10^{6} \mathrm{~J} / \mathrm{h}$ how many bricks can the engine hoist in $2.0 \mathrm{~h} ?$

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Key Concepts

Heat Engine

A heat engine is a system that converts thermal energy into mechanical work by exploiting the temperature difference between a heat source and a heat sink. It forms the basis of many energy conversion processes in thermodynamics, where the engine only converts a portion of the absorbed heat into useful work.

Thermal Efficiency

Thermal efficiency is the ratio of the work output of a heat engine to the heat input it receives. It quantifies how effectively a heat engine converts thermal energy into work and is a critical metric for assessing engine performance.

Gravitational Potential Energy

Gravitational potential energy is the energy possessed by an object due to its position in a gravitational field. It is calculated as the product of the mass of the object, gravitational acceleration, and the height to which the object is raised, indicating the work required to elevate the object.

Energy Rate and Unit Conversion

Energy rate, often expressed in joules per unit time, is crucial for understanding how much energy is being delivered or used over a given period. Converting between different units of energy and time is essential for accurately analyzing the performance and capacity of systems operating over specific intervals.

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