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

question 7

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 $1000 \mathrm { in } ^ { 3 }$ . Use the fact that the work done by the gas when the volume expands from $V _ { 1 }$ to volume $V _ { 2 }$ is
$$W = \int _ { V _ { 1 } } ^ { V _ { 2 } } P d V$$

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Definitions:

Money Multiplier

A factor that quantifies the amount of additional money that can be created in a bank's lending process for a given amount of reserves.

Excess Reserves

Excess reserves are the capital reserves held by a bank or financial institution in excess of what is required by regulators, central bank, or other financial authority.

Opportunity Cost

Missing out on potential opportunities from different choices when opting for a single alternative.

Holding Money

The act of keeping money in cash or in very liquid assets to facilitate transactions or as a precaution against uncertainties.