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A gas sample has a volume of 25.0 milliliters at a pressure of 1.00 atmosphere. If the volume increases to 50.0 milliliters and the temperature remains constant, the new pressure will be ________.
A gas sample has a volume of 25.0 milliliters at a pressure of 1.00 atmosphere. If the volume increases to 50.0 milliliters and the temperature remains constant, the new pressure will be ________.1) 2 atm
2) 0.5 atm
3) 10 atm
4) 5 atm
Final answer:Using Boyle's Law, which states that pressure is inversely proportional to volume for a given amount of gas at constant temperature, we can calculate that the new pressure of a gas that doubles in volume from 25.0 mL to 50.0 mL at constant temperature will be 0.5 atm.Explanation:If a gas sample has a volume of 25.0 milliliters at a pressure of 1.00 atmosphere and the volume increases to 50.0 milliliters while the temperature remains constant, we can determine the new pressure using Boyle's Law.Boyle's Law states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. Mathematically, it can be expressed as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.Applying this to the given values:P1 = 1.00 atmV1 = 25.0 mLV2 = 50.0 mLP2 = ?Solving for P2:P1V1 = P2V2(1.00 atm) × (25.0 mL) = P2 × (50.0 mL)P2 = (1.00 atm × 25.0 mL) / (50.0 mL)P2 = 0.5 atmTherefore, the new pressure will be 0.5 atm....