a 2.50mL sample of dry air in a cylinder exerts a pressure of3.00atm at room temperature. without changing the temperature, a piston is moved until the pressure in the cylinder is reduced to 1.00atm. what is the final volume of the gas?
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7.50 L
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law equation: P1 * V1 = P2 * V2
Given:
P1 = 3.00 atm (initial pressure)
V1 = 2.50 mL (initial volume)
P2 = 1.00 atm (final pressure)
V2 = ? (final volume, which we need to find)
We want to solve for V2, so we can rearrange the equation to isolate V2:
V2 = (P1 * V1) / P2
Substituting the given values:
V2 = (3.00 atm * 2.50 mL) / 1.00 atm
Calculating:
V2 = 7.50 mL
Therefore, the final volume of the gas is 7.50 mL.