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

question 467

Multiple Choice

Solve the problem. Round as appropriate.
-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 $\mathrm { V } =$ $286.0 \mathrm { in } ^ { 3 }$ when $\mathrm { T } = 260 ^ { \circ }$ and $\mathrm { P } = 10 \mathrm { lb } / \mathrm { in } ^ { 2 }$ , what is the volume when $\mathrm { T } = 260 ^ { \circ }$ and $\mathrm { P } = 20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?

• A) \(183.0 \mathrm { in } ^ { 3 }\)
• B) \(133.0 \mathrm { in } ^ { 3 }\)
• C) \(143.0 \mathrm { in } ^ { 3 }\)
• D) \(123.0 \mathrm { in } ^ { 3 }\)

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Definitions:

Independent Variable

In an experiment, the variable that is manipulated or changed to observe its effect on the dependent variable.

Sweets

Food items that are rich in sugar and often used as a treat or dessert.

Dependent Variable

The variable in an experiment that is expected to change as a result of manipulations to the independent variable.

Experimenter's Manipulations

The deliberate alteration of variables by a researcher in an experiment to determine their effects on the outcome.