To determine the value of x in SOx, we need to use the ideal gas law equation, which states:
PV = nRT
Where: P = Pressure V = Volume n = Number of moles R = Ideal gas constant T = Temperature
At standard temperature and pressure (STP), the values are: P = 1 atm V = 22.4 L (molar volume at STP) n = number of moles R = 0.0821 L·atm/(K·mol) T = 273.15 K (0°C)
Given that 16g of SOx occupies 5.6 liters at STP, we can calculate the number of moles using the molar mass of SOx.
The molar mass of sulfur (S) is approximately 32.07 g/mol, and the molar mass of oxygen (O) is approximately 16.00 g/mol.
Let's assume the molar mass of SOx is M g/mol.
The number of moles (n) can be calculated as follows: n = (mass of SOx) / (molar mass of SOx) = 16g / M
Now, substituting the known values into the ideal gas law equation:
PV = nRT
(1 atm) * (5.6 L) = [(16g / M) * (0.0821 L·atm/(K·mol))] * (273.15 K)
Simplifying the equation:
5.6 = (16 * 0.0821 * 273.15) / (M)
M = (16 * 0.0821 * 273.15) / 5.6
Solving this equation gives us the molar mass of SOx, which will help us determine the value of x.