In a Steam Engine the Pressure and Volume of Steam $P V^{1.4}=k$

question 29

Short Answer

In a steam engine the pressure and volume of steam satisfy the equation $P V^{1.4}=k$ , where k is a constant. (This is true for adiabatic expansion, that is, expansion in which there is no heat transfer between the cylinder and its surroundings.) Calculate the work done by the engine (in ft-lb) during a cycle when the steam starts at a pressure of $160 \mathrm{~lb} / \mathrm{in}^{2}$ and a volume of $100 \mathrm{~in}^{3}$ and expands to a volume of $800 \mathrm{~in}^{3} .$ Use the fact that the work done by the gas when the volume expands from $V_{1}$ to volume $V_{2}$ is $W=\int_{V_{1}}^{V_{2}} P d V$ .

Identify the philosophical stances of rationalism and empiricism and distinguish between them.

Comprehend human cognitive biases and the tendency to find patterns in random data.

Understand the concept of self-serving bias and its distinction from other cognitive biases.

Evaluate the belief in personal control and its implications on behavior and perception.

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