If 3.12 kg of S are reacted with oxygen calculate the volume of SO2 gas in mL formed at 35 degrees Celsius and 1.09 atm
mols S = 3120 g/molar mass S.
Convert mols S to mols SO2.
Convert mols SO2 to L using PV = nRT.
To calculate the volume of SO2 gas formed, you need to use the ideal gas law equation, which is PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.
First, you need to determine the number of moles of SO2 gas formed. To do this, you can use the balanced chemical equation for the reaction between S and oxygen. However, you haven't provided the balanced equation, so I'll assume it's:
S + O2 -> SO2
From the balanced equation, we can see that 1 mole of S reacts to form 1 mole of SO2. Therefore, the number of moles of SO2 gas formed is equal to the number of moles of S used in the reaction.
To find the number of moles of S, we need to convert the given mass of S into moles. The molar mass of sulfur (S) is 32.06 g/mol.
Given mass of S = 3.12 kg = 3120 g
Number of moles of S = (mass of S) / (molar mass of S) = 3120 g / 32.06 g/mol
Next, we can use the ideal gas law equation to calculate the volume of SO2 gas formed. However, we need to convert the given temperature from Celsius to Kelvin. The conversion can be done using the equation K = °C + 273.15.
Temperature in Kelvin = 35 °C + 273.15 = 308.15 K
Now, we have all the information we need to calculate the volume of SO2 gas formed. Apply the ideal gas law equation:
PV = nRT
V = (nRT) / P
Substitute the values into the equation:
V = [(number of moles of SO2) * (R) * (temperature in Kelvin)] / P
The value of R, the ideal gas constant, is 0.0821 L·atm/(mol·K).
Substitute the values into the equation and calculate the volume of SO2 gas:
V = [(number of moles of S) * (0.0821 L·atm/(mol·K)) * (temperature in Kelvin)] / P
V = [(3120 g / 32.06 g/mol) * (0.0821 L·atm/(mol·K)) * (308.15 K)] / 1.09 atm
Simplify the equation and perform the calculation to find the volume of SO2 gas in liters.
Finally, convert the volume from liters to milliliters by multiplying by 1000.
Please note that this is a method for calculating the volume of SO2 gas. If you provide the balanced equation for the reaction, the calculation can be more accurate and precise.