A Cylinder Contains 1

question 37

Short Answer

A cylinder contains 1.2 moles of ideal gas, initially at a temperature of 116°C. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 6.4 × 10⁵ Pa on the gas. The gas is cooled until its temperature has decreased to 27°C. For the gas C_V = 11.65 J/mol ∙ K, and the ideal gas constant R = 8.314 J/mol ∙ K.
(a) Find the work done by (or on) the gas during this process. Is the work done by or on the gas?
(b) What is the change in the internal (thermal) energy of the gas during this process?
(c) How much heat is transferred to (or from) the gas during this process? Does this heat flow into or out of the gas?

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Definitions:

Cost Curves

Graphical representations of how the costs of producing goods or services change with varying levels of output.

Perfectly Competitive

Referring to a market structure where there are many buyers and sellers, all selling homogeneous products, with no barriers to entry or exit, leading to price determination by supply and demand forces alone.

Monopolistically Competitive

A marketplace setup in which various enterprises deal in goods that are alike but not identical, affording them some degree of control in the market.

Cost Curves

Graphical representations showing the relationship between the cost of producing goods or services and the quantity produced.