An unknown amount of gas has a volume of 12 L and a pressure of 5.6 atm. If the temperature is 205K, how many moles of gas are present

Respuesta :

The number of moles of the gas present is 4 moles.

To calculate the numbers of moles of the gas present, we use the formula below.

Formula:

  • PV = nRT............. Equation 1

Where:

  • P = Pressure
  • V = Volume
  • n = Number of moles of the gas
  • R = molar gas constant
  • T = Temperature.

Make n the subject of the equation

  • n = PV/RT............ Equation 2

From the question,

Given:

  • P = 5.6 atm
  • V = 12 L
  • T = 205 K
  • R = 0.0821  L.atm.K⁻¹.mol⁻¹

Substitute these values into equation 2

  • n = (5.6×12)/(0.0821×205)
  • n = 67.2/16.8305
  • n = 3.99
  • n ≈ 4 moles

Hence, the number of moles of the gas present is 4 moles.

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