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 answer

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.