At 25.0 ° C, a 10.00 L vessel is filled with 5.25 moles of Gas A and 7.05 moles of Gas B. What is the total pressure?

The total pressure is 30.071 atmospheres.

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

(1)

Where:

If we know that , , and , then the total pressure is:

The total pressure is 30.071 atmospheres.

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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