calculate the mass of chlorine gas contained in 5.00dm³ flask at 25°C and 98 kpa pressure?
p v = n r t
convert ºC to ºK ... dm³ = L
use the value of r with the correct units
solve for n ... moles of chlorine
... remember , chlorine gas is diatomic
To calculate the mass of chlorine gas, we can use the ideal gas law equation:
PV = nRT
Where:
P = Pressure (in kPa)
V = Volume (in dm³)
n = number of moles
R = Gas constant (0.0821 L·atm/(mol·K))
T = Temperature (in Kelvin)
Step 1: Convert the temperature to Kelvin.
Given temperature = 25°C
T(K) = 25 + 273.15 = 298.15 K
Step 2: Convert the volume to liters.
Given volume = 5.00 dm³
V(L) = 5.00 dm³ = 5.00 L
Step 3: Convert the pressure from kPa to atm.
Given pressure = 98 kPa
P(atm) = 98 kPa / 101.325 kPa/atm = 0.96693 atm
Step 4: Rearrange the ideal gas law equation to solve for the number of moles (n).
n = PV / RT
n = (0.96693 atm * 5.00 L) / (0.0821 L·atm/(mol·K) * 298.15 K)
Step 5: Calculate the number of moles of chlorine gas.
n ≈ 0.19165 moles
Step 6: Calculate the molar mass of chlorine (Cl₂).
The molar mass of chlorine (Cl₂) is approximately 70.91 g/mol.
Step 7: Calculate the mass of chlorine gas.
Mass = n * molar mass
Mass = 0.19165 moles * 70.91 g/mol
Step 8: Calculate the mass of chlorine gas contained in the given flask.
= 13.61 grams
Therefore, the mass of chlorine gas contained in the 5.00 dm³ flask at 25°C and 98 kPa pressure is approximately 13.61 grams.
To calculate the mass of chlorine gas contained in a flask, we need to use the ideal gas law equation:
PV = nRT
Where:
P = pressure in Pascal (Pa)
V = volume in cubic meters (m³)
n = number of moles of the gas
R = ideal gas constant (8.314 J/(mol∙K))
T = temperature in Kelvin (K)
First, we need to convert the given values into the appropriate units.
Pressure: 98 kPa = 98,000 Pa
Volume: 5.00 dm³ = 5.00 × 10⁻³ m³ (since 1 dm³ = 1 × 10⁻³ m³)
Temperature: 25°C = 25 + 273.15 K (since K = °C + 273.15)
Now we have all the values needed to solve for the number of moles (n).
PV = nRT
n = (PV) / (RT)
Substituting the values:
n = ((98,000 Pa) × (5.00 × 10⁻³ m³)) / ((8.314 J/(mol∙K)) × (25 + 273.15 K))
Calculate the value of n.
Next, we can calculate the molar mass of chlorine (Cl₂), which is 70.906 g/mol.
Finally, to find the mass of chlorine gas, we multiply the number of moles (n) by the molar mass.
Mass = n × molar mass
Calculate the value of the mass to find your answer.