A Gas Expands from an Initial Volume Of $0.040 \mathrm {~m} ^ { 3 }$

question 21

Multiple Choice

A gas expands from an initial volume of $0.040 \mathrm {~m} ^ { 3 }$ to a final volume of $0.085 \mathrm {~m} ^ { 3 }$ while its pressure increases linearly with the volume (so that the process follows a straight-line path in a $p V$ diagram) from $110 \mathrm { kPa }$ to $225 \mathrm { kPa }$ . How much work is done by the gas during this expansion?

• A) \(11 \mathrm {~kJ}\)
• B) \(7.8 \mathrm {~kJ}\)
• C) \(12 \mathrm {~kJ}\)
• D) \(5.2 \mathrm {~kJ}\)
• E) \(7.5 \mathrm {~kJ}\)

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Definitions:

Y-intercept

The point where a line crosses the y-axis of a graph, reflecting the value of the dependent variable when the independent variable is zero.

Regression Equation

A mathematical formula used to predict a dependent variable based on one or more independent variables, illustrating the relationship between them.

Y-Intercept

The point where a line crosses the Y-axis of a graph, representing the value of the dependent variable when all independent variables are zero.

Table

A systematic arrangement of data in rows and columns, facilitating easy comparison, analysis, and presentation of information.