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A gas in a 6.2 mL cylinder has a pressure of 1.4 atmospheres. A piston is pushed in until the gas volume is 3.1 mL, while the temperature remains constant. What's the final pressure of the gas in the cylinder?

2 Answers

3 votes

Answer:

2.8 atm

Step-by-step explanation:

User TaborKelly
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5 votes

Answer:

2.8 atm.

Step-by-step explanation:

From the question given above, we obtained the following data:

Initial volume (V1) = 6.2 mL

Initial pressure (P1) = 1.4 atm

Final volume (V2) = 3.1 mL

Final pressure (P2) =?

The final pressure of the gas cylinder can be obtained by using the Boyle's law equation as shown below:

P1V1 = P2V2

1.4 × 6.2 = P2 × 3.1

8.68 = P2 × 3.1

Divide both side by 3.1

P2 = 8.68/3.1

P2 = 2.8 atm

Therefore, the final pressure of the gas cylinder is 2.8 atm

User Damian Walczak
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4.7k points