Answer :

The pressure of the gas is approximately 33.85 atm.

To calculate the pressure of the gas, we can use the ideal gas law equation:

PV = nRT

P = Pressure of the gas (in atm)

V = Volume of the gas (in L)

n = Number of moles of the gas

R = Ideal gas constant (0.0821 L·atm/mol·K)

T = Temperature of the gas (in Kelvin)

First, we need to convert the temperature from Celsius to Kelvin:

T(K) = 85.00°C + 273.15 = 358.15 K

Now, we can plug the values into the ideal gas law equation:

P × 86.5 L = 97.5 mol × 0.0821 L·atm/mol·K × 358.15 K

P × 86.5 L = 2929.63 atm·L

P = 2929.63 atm·L / 86.5 L

P ≈ 33.85 atm

The pressure of the gas is approximately 33.85 atm.

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