solve the following problems..
1. Calculate the volume of 0.024 mole oc carbon dioxide at STP.
2. Calculte the volume of 6.2 g Of hydrogen gas (H2) at STP.
3. Calculate the molar volume of 3 moles of Nitrogen gas.
4.Determine the density of a gas if its molar volume is 22.4 L and a molar mass of 3n grams.
5.Determine the molar volume of sulfur dioxide (SO2) if the density of SO2is 2.62888/L.
6. Calculate the molar volume for oxygen gas(O2) if the density of the gas is 1.4291 g? L.
1. To calculate the volume of 0.024 mole of carbon dioxide at STP, we use the equation V = nRT/P, where n is the number of moles, R is the ideal gas constant (0.0821 L.atm/mol.K), T is the temperature (273 K at STP), and P is the pressure (1 atm at STP).
V = (0.024 mol)(0.0821 L.atm/mol.K)(273 K)/(1 atm)
V = 0.537 L
Therefore, the volume of 0.024 mole of carbon dioxide at STP is 0.537 L.
2. To calculate the volume of 6.2 g of hydrogen gas at STP, we first need to convert the mass to moles using the molar mass of hydrogen (2 g/mol).
moles = 6.2 g / 2 g/mol = 3.1 mol
Using the same equation V = nRT/P, we can calculate the volume:
V = (3.1 mol)(0.0821 L.atm/mol.K)(273 K)/(1 atm)
V = 6.76 L
Therefore, the volume of 6.2 g of hydrogen gas at STP is 6.76 L.
3. The molar volume of a gas at STP is 22.4 L/mol. Therefore, the molar volume of 3 moles of nitrogen gas is:
Volume = 3 moles * 22.4 L/mol = 67.2 L
4. To determine the density of a gas with a molar volume of 22.4 L/mol and a molar mass of 3n grams, we first need to find the mass of one mole of the gas:
1 mole = n grams (given)
Density = molar mass / molar volume
Density = (3n g) / 22.4 L = 3n / 22.4 g/L
5. The molar volume of sulfur dioxide can be calculated using the equation:
Density = mass/volume
Molar mass of SO2 = 32 g/mol (sulfur) + 2*16 g/mol (oxygen) = 64 g/mol
Volume = mass/density
Volume = 64 g/mol / 2.62888 g/L = 24.35 L/mol
Therefore, the molar volume of sulfur dioxide is 24.35 L/mol.
6. Given that the density of oxygen gas is 1.4291 g/L, we can calculate the molar volume using the molar mass of oxygen (32 g/mol):
Volume = molar mass / density
Volume = 32 g/mol / 1.4291 g/L = 22.36 L/mol
Therefore, the molar volume of oxygen gas is 22.36 L/mol.