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

question 45

Multiple Choice

The volume $\mathrm { V }$ of a given mass of gas varies directly as the temperature $\mathrm { T }$ and inversely as the pressure $\mathrm { P }$ . If $\mathrm { V } = 121.0$ in. ${ } ^ { 3 }$ when $\mathrm { T } = 110 ^ { \circ }$ and $\mathrm { P } = 10 \mathrm { lb } /$ in. 2 , what is the volume when $\mathrm { T } = 380 ^ { \circ }$ and $P = 15 \mathrm { lb } /$ in. $^ { 2 }$ ? (Round to the nearest tenth.)

• A) \(278.7 \mathrm { in. } ^ { 3 }\)
• B) \(258.7 \mathrm { in. } ^ { 3 }\)
• C) \(318.7\) in. 3
• D) \(238.7 \mathrm { in. } ^ { 3 }\)

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Definitions:

Cognitive Algebra

A theoretical concept indicating how people integrate information to make judgments and decisions, often using metaphorical mathematical operations such as addition and subtraction.

Balance Theory

A psychological theory suggesting that individuals strive for consistency among their beliefs, attitudes, and sentiments in a triadic relationship.

Triad

In social sciences, a group or relationship that involves three entities, which can significantly differ in dynamics from dyads (two entities).

Two-Component Model

A theory or framework that divides a concept or phenomenon into two distinct parts for better understanding or analysis.