Calculate the percent deviation from ideal behavior for 1.03 mol of CO2 gas in a 1.10 L container at 35.0°C, which exerts a pressure of 20.3 atm.
first, calcule pressure as an ideal gas
P=nRT/V
Now deviation. I assume you mean error.
%error= 20.3/Pressure calculated * 100
To calculate the percent deviation from ideal behavior for a gas, we need to compare the actual pressure of the gas with the pressure that would be expected if the gas followed ideal gas behavior. The ideal gas law equation can be used to calculate the expected pressure:
PV = nRT
Where:
P = Pressure
V = Volume
n = Number of moles
R = Ideal gas constant (0.0821 L·atm/mol·K for pressure in atm)
T = Temperature (in Kelvin)
Step 1: Convert the temperature from Celsius to Kelvin.
To convert from Celsius to Kelvin, we add 273.15 to the Celsius value.
35.0°C + 273.15 = 308.15 K
Step 2: Substitute the values into the ideal gas law equation to find the expected pressure.
PV = nRT
P(1.10 L) = (1.03 mol)(0.0821 L·atm/mol·K)(308.15 K)
P = (1.03 mol)(0.0821 L·atm/mol·K)(308.15 K) / 1.10 L
P ≈ 25.074 atm
Step 3: Calculate the percent deviation.
The percent deviation can be calculated using the following formula:
Percent Deviation = (|Actual Pressure - Expected Pressure| / Expected Pressure) * 100
Percent Deviation = (|20.3 atm - 25.074 atm| / 25.074 atm) * 100
Percent Deviation ≈ 19.0%
So, the percent deviation from ideal behavior for 1.03 mol of CO2 gas in a 1.10 L container at 35.0°C and 20.3 atm pressure is approximately 19.0%.