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Neetoo

Answer:

P = 30.1 atm

Explanation:

Given data:

Temperature of vessel = 25°C

Volume of vessel = 10.00 L

Moles in vessel = A + B = 5.25 mol + 7.05 mol = 12.3 moles

Total pressure inside vessel = ?

Solution:

The given problem will be solve by using general gas equation,

PV = nRT

P= Pressure

V = volume

n = number of moles

R = general gas constant = 0.0821 atm.L/ mol.K  

T = temperature in kelvin

Now we will convert the temperature.

25+273 = 298 K

P = nRT/V

P = 12.3 mol × 0.0821 atm.L/ mol.K × 298 K  / 10.00 L

P = 300.93 /  10.00 L

P = 30.1 atm

xero099

The total pressure is 30.071 atmospheres.

The total pressure can be calculated by the equation of state for ideal gases:

[tex]p = \frac{n\cdot R_{u}\cdot T}{V}[/tex] (1)

Where:

  • [tex]n[/tex] - Total amount of moles, in moles.
  • [tex]V[/tex] - Volume of the vessel, in liters.
  • [tex]T[/tex] - Temperature inside the vessel, in Kelvin.
  • [tex]R_{u}[/tex] - Ideal gas constant, in atmosphere-liters per mole-Kelvin.

If we know that [tex]n = 12.30\,moles[/tex], [tex]V = 10\,L[/tex], [tex]T = 298.15\,K[/tex] and [tex]R_{u} = 0.082\,\frac{atm\cdot L}{mol\cdot K}[/tex], then the total pressure is:

[tex]p = \frac{(12.30\,moles)\cdot \left(0.082\,\frac{atm\cdot L}{mol\cdot K} \right)\cdot (298.15\,K)}{10\,L}[/tex]

[tex]p = 30.071\,atm[/tex]

The total pressure is 30.071 atmospheres.

We kindly invite to check this question on ideal gases: https://brainly.com/question/16211117

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