Calculate the density of carbon monoxide gas at standard conditions if 25.0 mL of the gas weighs 0.0329 g at 800.00 mm of pressure.??
To calculate the density of carbon monoxide gas, you need to use the formula:
Density = mass/volume
First, you need to convert the given volume from milliliters (mL) to liters (L) because the density needs to be in units of grams per liter (g/L).
1 L = 1000 mL
So, 25.0 mL = 25.0/1000 = 0.025 L
Next, divide the given mass of 0.0329 g by the converted volume of 0.025 L to find the density.
Density = 0.0329 g / 0.025 L = 1.316 g/L
Therefore, the density of carbon monoxide gas at standard conditions is 1.316 g/L.
To calculate the density of carbon monoxide gas at standard conditions, we need to use the ideal gas law and the molar mass of carbon monoxide.
Step 1: Find the number of moles of carbon monoxide gas.
To do this, we can use the formula:
moles = mass / molar mass
Given that the mass of the gas is 0.0329 g, we need to find the molar mass of carbon monoxide. The molar mass of carbon is 12.01 g/mol, and the molar mass of oxygen is 16.00 g/mol. Therefore, the molar mass of carbon monoxide is:
molar mass = (12.01 g/mol) + (16.00 g/mol) = 28.01 g/mol
Using the formula, we can determine the number of moles:
moles = 0.0329 g / 28.01 g/mol
moles ≈ 0.001173 mol
Step 2: Calculate the volume of the gas at standard conditions.
At standard conditions (0 degrees Celsius and 1 atmosphere pressure), one mole of gas occupies 22.4 liters (L). To convert from milliliters (mL) to liters (L), divide by 1000:
volume = 25.0 mL / 1000
volume = 0.0250 L
Step 3: Calculate the density.
Density is defined as mass divided by volume. In this case, we have moles, so we need to calculate the molar volume, which is the volume per mole.
molar volume = volume / moles
molar volume = 0.0250 L / 0.001173 mol
molar volume ≈ 21.35 L/mol
Since the density is given in units of grams per liter (g/L), we need to convert the molar volume to liters per gram (L/g). To do this, we take the reciprocal:
reciprocal molar volume = 1 / molar volume
reciprocal molar volume ≈ 1 / 21.35 L/mol
reciprocal molar volume ≈ 0.0469 mol/L
Finally, we can calculate the density:
density = 1 / reciprocal molar volume
density ≈ 1 / 0.0469 g/L
density ≈ 21.29 g/L
Therefore, the density of carbon monoxide gas at standard conditions is approximately 21.29 g/L.