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A 1.50-liter sample of dry air in a cylinder exerts a pressure of 3.00 atmospheres at a temperature of 25°C. Without changing the temperature, a piston is moved in the cylinder until the pressure in the cylinder is reduced to 1.00 atmospheres. The volume of the gas is _____.

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Answer:

[tex]V_2=4.5 L[/tex]

Explanation:

Hi, air can be considered as an ideal gas. If mantaining constant the temeperature, you can apply the Boyle-Mariotte formula:

[tex]P_1*V_1=P_2*V_2[/tex]

In this case:

[tex]P_1=3 atm[/tex]

[tex]V_1=1.5 L[/tex]

[tex]P_2=1 atm[/tex]

So:

[tex]V_2=\frac{P_1*V_1}{P_2}[/tex]

[tex]V_2=\frac{3atm*1.5 L}{1atm}[/tex]

[tex]V_2=4.5 L[/tex]

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