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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