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If the volume is doubled from 5.0 mL to 10.0 mL, what does your data show happens to the pressure? Show the pressure values in your answer. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 IMae) QUESTION 2 From the shape of the curve in the plot of pressure versus volume, the relationship between the pressure and volume of a confined gas is direct True False

User Mithrandir
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2 Answers

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Final answer:

When the volume of a gas is doubled, the pressure is halved according to Boyle's Law, indicating an inverse relationship between pressure and volume which is not a direct relationship.

Step-by-step explanation:

Based on the given data and Boyle's Law, which states that at constant temperature and number of molecules, the absolute pressure of a gas and its volume are inversely proportional, when the volume of a gas is doubled, the pressure decreases. As a specific example, if the volume is increased from 5.0 mL to 10.0 mL, your data should show that the pressure is halved. So if we had a starting pressure of 2.0 atm at 5.0 mL, you would expect the pressure to decrease to 1.0 atm at 10.0 mL because PV = constant. When plotting pressure versus volume, the shape of the curve should be a hyperbola, indicating the inverse relationship.

If we are given a plot of pressure versus volume, it will NOT show a direct relationship, as an increase in volume results in a decrease in pressure, not an increase. Hence, the correct answer to the second part of your question is False. The relationship between pressure and volume of a confined gas is inversely proportional, not direct.

User Hatfinch
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Final answer:

According to Boyle's law, the pressure of a gas decreases when the volume is doubled, maintaining an inverse relationship. Double the volume from 5.0 mL to 10.0 mL results in half the pressure, and the relationship between pressure and volume is inversely proportional, not direct.

Explanation

When the volume of a gas is doubled from 5.0 mL to 10.0 mL, the pressure, according to Boyle's law, is halved assuming the temperature and the number of molecules remain constant. Boyle's law represents the inverse relationship between volume and pressure, which can be represented by P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. If we start with a specific volume and pressure, say 5.0 mL at a pressure of 2.44 atm, and double the volume to 10.0 mL, the pressure would decrease to 1.22 atm based on Boyle's law to maintain the constant PV value.

Considering the curve, it should be hyperbolic, plotting pressure versus volume, which shows that as volume increases, pressure decreases, and vice versa, demonstrating an inverse proportional relationship. Therefore, for the second part of the question, the statement 'the relationship between the pressure and volume of a confined gas is direct' is false. The relationship is actually the opposite; it is inverse, as clearly shown by the hyperbolic outline when plotting pressure against volume.

User FoxyError
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