Solve
-The Volume $\mathrm { V }$ Of a Given Mass of Gas Varies Directly as the Mass

question 182

Multiple Choice

Solve.
-The volume $\mathrm { V }$ of a given mass of gas varies directly as the temperature $\mathrm { T }$ and inversely as the pressure $\mathrm { P }$ . A measuring device is calibrated to give $\mathrm { V } = 319.2 \mathrm { in } ^ { 3 }$ when $\mathrm { T } = 570 ^ { \circ }$ and $\mathrm { P } = 25 \mathrm { lb } / \mathrm { in } ^ { 2 }$ . What is the volume on this device when the temperature is $430 ^ { \circ }$ and the pressure is $20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?

• A) \(V = 311\) in \(^ { 3 }\)
• B) \(\mathrm { V } = 21.5 \mathrm { in } ^ { 3 }\)
• C) \(V = 301\) in \(^ { 3 }\)
• D) \(V = 291\) in \(^ { 3 }\)

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Definitions:

Perfectly Competitive Industry

An industry structure where many firms produce identical products, entry and exit are easy, and no single firm can influence the market price.

Demand Curve

A graph showing the relationship between the price of a good and the quantity demanded, with a typical downward slope indicating that demand increases as price decreases.

Producer's Surplus

The difference between what producers are willing to accept for a good or service and what they actually receive.

Marginal Cost Curve

A graph showing the change in total production cost that comes from making or producing one additional unit.