A gas occupies a volume of 1.5 liters at a pressure of 2 atmospheres. If the pressure is increased to 4 atmospheres while the temperature remains constant, what will be the new volume of the gas?
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Correct Answer: Option C
Explanation:
According to Boyle's law (for constant temperature), the product of initial pressure and initial volume is equal to the product of final pressure and final volume. Therefore, (1.5 liters) × (2 atmospheres) = (new volume) × (4 atmospheres). Solving for the new volume gives us (new volume) = (1.5 liters × 2 atmospheres) / 4 atmospheres = 0.75 liters.
According to Boyle's law (for constant temperature), the product of initial pressure and initial volume is equal to the product of final pressure and final volume. Therefore, (1.5 liters) × (2 atmospheres) = (new volume) × (4 atmospheres). Solving for the new volume gives us (new volume) = (1.5 liters × 2 atmospheres) / 4 atmospheres = 0.75 liters.