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A 2. 75-l container filled with co2 gas at 25Ā°c and 225 kpa pressure springs a leak. When the container is re-sealed, the pressure is 185 kpa and the temperature is 10Ā°c. How many moles of gas were lost?.

Respuesta :

shristiparmar1221

The number of moles of gas lost is Ā 0.0213 mol. It can be solved with the help of Ideal gas law.

What is Ideal law ?

According to this law, "the volume of a given amount of gas is directly proportional to the number on moles of gas, directly proportional to the temperature and inversely proportional to the pressure. i.e.

PV = nRT.

Where,

  • p = pressure
  • V = volume (1.75 L = 1.75 x 10ā»Ā³ mĀ³)
  • T = Ā absolute temperature
  • n = number of moles
  • R = Ā gas constant, 8.314 J*(mol-K)

Therefore, the number of moles is

n = PV / RT

State 1 :

  • Tā‚ = (25ā° C = 25+273 = 298 K)
  • pā‚ = 225 kPa = 225 x 10Ā³ N/mĀ²

State 2 :

  • Tā‚‚ = 10 C = 283 K
  • pā‚‚ = 185 kPa = 185 x 10Ā³ N/mĀ²

The loss in moles of gas from state 1 to state 2 is

Ī”n = V/R (Pā‚/Tā‚ - Pā‚‚/Tā‚‚ )

V/R = (1.75 x 10ā»Ā³ mĀ³)/(8.314 (N-m)/(mol-K) = 2.1049 x 10ā»ā“ (mol-mĀ²-K)/N

pā‚/Tā‚ = (225 x 10Ā³)/298 = 755.0336 N/(mĀ²-K)

pā‚‚/Tā‚‚ = (185 x 10Ā³)/283 = 653.7102 N/(mĀ²-K)

Therefore,

Ī”n = (2.1049 x 10ā»ā“ (mol-mĀ²-K)/N)*(755.0336 - 653.7102 N/(mĀ²-K))

Ā  Ā  = 0.0213 mol

Hence, The number of moles of gas lost is 0.0213 mol.

Learn more about ideal gas here ;

https://brainly.in/question/641453

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