To explain the trend observed in a graph of pressure versus volume in relation to Boyle's Law, we can start by summarizing Boyle's Law itself. Boyle's Law states that the pressure of a gas is inversely proportional to its volume, provided the temperature remains constant. This means that as the volume of a gas decreases, its pressure increases, and vice versa.
Trends in the Graph of Pressure vs. Volume
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Inverse Relationship: When you plot pressure (P) on the y-axis against volume (V) on the x-axis, you will observe that as the volume of the gas decreases (moving left on the x-axis), the pressure increases (moving up on the y-axis). This confirms the inverse relationship described by Boyle's Law.
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Curved Line: The graph typically shows a hyperbolic curve. This curve reflects the mathematical relationship: \[ P \propto \frac{1}{V} \] which indicates that when plotted on a conventional linear graph, the points will not form a straight line but rather a curve that approaches both axes asymptotically.
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Constant Temperature: It’s important to remember that the experiments must be conducted at a constant temperature for Boyle's Law to be valid. If temperature is not controlled, variations in temperature could affect the pressure and volume of the gas, leading to results that do not conform to Boyle's Law.
Practical Application in the Worksheet
While performing the practical activity, students should:
- Measure the volume of a gas at various pressures using a piston or similar equipment.
- Record these measurements to produce a table of values.
- Plot these values on the Pressure vs. Volume graph.
- Observe the shape of the graph to identify the inverse relationship.
Conclusion
In context to your Grade 11 practical worksheet, you would conclude that Boyle's Law is verified through the observed inverse relationship on the pressure versus volume graph. The consistent trend demonstrates the predictable behavior of gases under controlled conditions, reinforcing fundamental concepts in gas laws and their mathematical interpretations.