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a cylinder contains 0.80 L of nitrogen gas at a pressure of 1.2 atm. A piston slowly compresses the gas to a pressure of 6.0 atm. The temperature of the gas remains constant. what is the final volume of the gas?

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Answer:

  • 0.16 L

Explanation:

To calculate the final volume of the gas, we can use Boyle's law which states that At constant temperature, he pressure of a gas is inversely proportional to its volume.

[tex] P_1 V_1 = P_2 V_2 [/tex]

Where,

  • [tex] P_1 [/tex] & [tex]V_1[/tex] are inital pressure and initial volume
  • [tex]P_2[/tex] & [tex]V_2[/tex] are final pressure and final volume.

Acc to the question, a cylinder contains 0.80 L of nitrogen gas at a pressure of 1.2 atm. A piston slowly compresses the gas to a pressure of 6.0 atm.

  • [tex] P_1 [/tex] = 1.2 atm
  • [tex]V_1[/tex] = 0.8 L
  • [tex] P_2 [/tex] = 6.0 atm
  • [tex] V_2 [/tex] = ?

Plugging in the given values,

[tex]1.2 \times 0.8 = 6.0 \times V_2 \\ \\ 0.96 = 6.0 \times V_2 \\ \\ V_2 = 0.16 \ L \\ [/tex]

  • Therefore, the final volume of the gas is 0.16 L.

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