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A sample of gas has an initial volume of 25 L and an initial pressure of 3.5 Pa. If the pressure changes to 1.3 Pa, find the new volume, assuming that the temperature remains constant.

Respuesta :

Since you are provided with the pressure and initial volume and told a standard temperature, you should use the Combined gas law. This is (P1 V1)/ T1 = (P2 V2)/ T2 
STP is 273 k for temperature, so plug in the values. 
(3.5 Pa * 25 L)/ 273 K =1.3 Pa * X L)/ 273 K.
(this is the left side>)0.32051= 1.3 X/ 273.  Multiply both sides by 273 to get rid of it on the right, which leaves you with
87.4999 = 1.3 X. Divide both sides by 1.3 and there you go, 

67.308 L
asuwafohjames

The new volume of the sample of gas is 67.31 L.

To find the new volume of gas, we apply Boyle's law.

Boyle's law

Boyle's law states that the volume of a fixed mass of gas is inversely proportional to its pressure provided the temperature is constant.

Formula:

  • PV = P'V'.............. Equation 1

Where:

  • P = Old pressure
  • P' = New pressure
  • V = Old volume
  • V' = New volume.

Make V' The subject of the equation

  • V' = PV/P'............. Equation 2

From the question,

Given:

  • P = 3.5 Pa
  • V = 25 L
  • P' = 1.3 Pa

Substitute these values into equation 2

  • V' = (3.5×25)/1.3
  • V' = 67.31 L.

Hence, the new volume of the sample of gas is 67.31 L.
Learn more about Boyle's law here: https://brainly.com/question/26040104

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