the density of o2 at NTP is 1.429g/l.calculate standard molar volume of the gas?
22.39 l
To calculate the standard molar volume of a gas, we need to use the Ideal Gas Law equation:
PV = nRT
Where:
P is the pressure, which is taken as standard pressure at NTP (1 atmosphere or 101.3 kPa).
V is the volume.
n is the number of moles of gas.
R is the ideal gas constant (0.0821 L·atm/(mol·K) or 8.314 J/(mol·K)).
T is the temperature in Kelvin.
First, we need to determine the number of moles of O2 gas using its density. The density of O2 at NTP is given as 1.429 g/L.
Since we're calculating the standard molar volume, the volume will be 1 liter.
Step 1: Convert grams to moles.
To do this, we need the molar mass of O2, which is 32 g/mol.
Thus, the number of moles of O2 in 1 liter can be calculated as:
1.429 g/L / 32 g/mol = 0.04466 mol/L
Step 2: Calculate the standard molar volume.
Now that we have the number of moles (n = 0.04466 mol) and the volume (V = 1 L) at NTP, we can rearrange the Ideal Gas Law equation to solve for the volume:
PV = nRT
(1 atm) × (1 L) = (0.04466 mol) × (0.0821 L·atm/(mol·K)) × (273.15 K)
1 L = 0.972 L·atm/(mol·K) × 273.15 K
1 L = 0.972 L
Therefore, the standard molar volume of O2 gas at NTP is approximately 0.972 L/mol.