Questions and Answers
What does Boyle's Law state about the relationship between the volume and pressure of a gas at constant temperature?
What is the mathematical representation of Boyle's Law?
What happens to the volume of gas when the pressure is increased from 2 atm to 4 atm?
What is the effect on volume as pressure reaches 8 atm in the given experiments?
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Which of the following statements is true regarding the constant 'k' in Boyle's Law?
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In the context of Boyle's Law, if the initial pressure is 6 atm and the initial volume is 0.5 $dm^3$, what would the final volume be if the pressure is changed to 3 atm?
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During the experimental verification of Boyle's Law, which pressure reading resulted in the largest volume?
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Which of the following best describes Boyle's Law?
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Study Notes
Boyle's Law
- In 1662, Robert Boyle discovered the inverse relationship between gas volume and pressure, maintaining constant temperature.
- The relationship is mathematically represented as ( V \propto \frac{1}{P} ).
- Volume (V) decreases when pressure (P) increases, and vice versa.
- Expressed as ( V = \frac{k}{P} ), where k is the proportionality constant specific to the gas.
- The product of pressure and volume remains constant for a given mass of gas at a constant temperature: ( P_1V_1 = P_2V_2 ).
- Variables associated with Boyle's Law:
- ( P_1 ): Initial pressure
- ( V_1 ): Initial volume
- ( P_2 ): Final pressure
- ( V_2 ): Final volume
Experimental Verification of Boyle's Law
- Boyle's Law can be experimentally verified using a gas in a cylinder with a movable piston.
- At 2 atm pressure, the volume of gas recorded is 1 ( dm^3 ).
- Increasing pressure to 4 atm results in a volume reduction to 0.5 ( dm^3 ).
- At 6 atm of pressure, the volume decreases further to 0.33 ( dm^3 ).
- At 8 atm, volume is 0.25 ( dm^3 ).
- The experiments confirm that increasing pressure leads to a decrease in gas volume at a constant temperature, validating Boyle's Law.
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Description
Explore Boyle's Law, which highlights the inverse relationship between the volume and pressure of a gas at constant temperature. This fundamental principle in gas laws is essential for understanding the behavior of gases. Test your knowledge on its mathematical representation and implications.