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A closed flask of air (0.250L) contains 7 "puffs" of particles. The pressure probe on the flask reads 93 kPa. A student uses a syringe to add an additional 3 "puffs" of air through the stopper. Find the new pressure inside the flask.

A) 124 kPa
B) 93.75 kPa
C) 81.75 kPa
D) 112.5 kPa

User Achoora
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1 Answer

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Final answer:

To find the new pressure inside the flask, we can use Boyle's Law. Initially, the flask has a volume of 0.250 L and contains 7 "puffs" of particles, resulting in a pressure of 93 kPa. When the student adds 3 more "puffs" of air, the volume remains the same, but the total number of particles increases to 10 "puffs". Using Boyle's Law, we can calculate that the new pressure inside the flask is 112.5 kPa.

Step-by-step explanation:

To find the new pressure inside the flask, we can use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. Initially, the flask has a volume of 0.250 L and contains 7 "puffs" of particles, resulting in a pressure of 93 kPa. When the student adds 3 more "puffs" of air, the volume remains the same, but the total number of particles increases to 10 "puffs".

Since the temperature is constant, Boyle's Law tells us that the product of the initial pressure and volume is equal to the product of the final pressure and volume. P1V1 = P2V2 Substituting the given values, we have (93 kPa)(0.250 L) = P2(0.250 L + 3 "puffs") Simplifying the equation, we get 23.25 kPa = P2(0.250 L + 3 "puffs"). Dividing both sides of the equation by 0.250 L + 3 "puffs", we can find the new pressure inside the flask. This calculation yields a value of 112.5 kPa for the new pressure.

User MrGomez
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