Solve the Problem $V$ Of a Given Mass of Gas Varies Directly as the Otherwise

question 10

Multiple Choice

Solve the problem. Round to the nearest tenth unless indicated otherwise.
-The volume $V$ of a given mass of gas varies directly as the temperature $T$ and inversely as the pressure $\mathrm { P }$ . If $\mathrm { V } = 78.0$ in $^ { 3 }$ when $\mathrm { T } = 130 ^ { \circ }$ and $\mathrm { P } = 20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ , what is the volume when $\mathrm { T } = 340 ^ { \circ }$ and $\mathrm { P } = 20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?

• A) \(174.0\) in \(^ { 3 }\)
• B) \(194.0\) in \(^ { 3 }\)
• C) \(204.0 \mathrm { in } ^ { 3 }\)
• D) \(214.0 \mathrm { in } ^ { 3 }\)

---

Definitions:

Diseconomies of Scale

The situation in which a business grows so large that the costs per unit increase, as opposed to economies of scale where costs per unit decrease with the increase in output.

Long-Run Average Cost Curve

A graphical representation that shows the minimum average cost at which any output level can be produced after all inputs are adjustable. It reflects economies and diseconomies of scale.

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, leading to a reduced cost per unit of output.

Search Engine

A software system designed to search for information on the World Wide Web.