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From experimental factors assumed to be constant, moving piston and maintain volume, and volume halved from 20.0ml to 10.0ml, include the shape of the curve in the plot of pressure versus volume, do you think the relationship between the pressure and volume of a confined gas is direct or inverse. Explain more
Accepted Answer
According to Boyle's Law for gases, for a certain amount of gas at a constant temperature, the pressure exerted by the gas is inversely proportional to its volume. Doubling the volume will halve the pressure, tripling the volume will reduce the pressure by a factor of three, and so on.
Mathematically, the relationship can be represented as P₁V₁ = P₂V₂. Here, P₁ and V₁ represent the initial pressure and volume, respectively, while P₂ and V₂ represent the final pressure and volume, respectively.
This implies that when the volume is halved from 20.0 mL to 10.0 mL while maintaining a constant temperature, the pressure will double. The graph of pressure versus volume will show a rectangular hyperbola, with the pressure increasing as the volume decreases. This inverse relationship between pressure and volume for a confined gas is known as Boyle's Law.
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