How much carbon dioxide gas is there in a 34.3 L container at 34.0◦C and 5.49 atm? answer in grams
PV = nRT and solve for n; then
n = grams/molar mass and solve for grams.
khi
To find the mass of carbon dioxide gas in the given container, we can use the ideal gas law, which states:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = temperature
First, let's convert the temperature from degrees Celsius to Kelvin:
T = 34.0 + 273.15
T = 307.15 K
The ideal gas constant (R) is 0.0821 L·atm/(K·mol).
Now, rearrange the ideal gas law equation to solve for moles (n):
n = PV / RT
Substitute the given values into the equation:
n = (5.49 atm) * (34.3 L) / (0.0821 L·atm/(K·mol) * 307.15 K)
Calculate the value of n.
Once we have the number of moles, we can calculate the mass of carbon dioxide using the molar mass of CO2. The molar mass of carbon dioxide is approximately 44 g/mol.
mass = n * molar mass
Substitute the value of n into the equation and calculate the mass.
To determine the mass of carbon dioxide gas in the given container, we need to use the Ideal Gas Law equation:
PV = nRT
Where:
P = pressure of the gas in atm
V = volume of the gas in liters
n = number of moles of the gas
R = Ideal Gas Law constant (0.0821 L·atm/(mol·K))
T = temperature of the gas in Kelvin
First, we need to convert the given temperature from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 34.0 + 273.15
T(K) = 307.15 K
Now, let's rearrange the equation to solve for the number of moles (n) of carbon dioxide gas:
n = PV / RT
Substituting the values into the equation:
n = (5.49 atm) * (34.3 L) / (0.0821 L·atm/(mol·K) * 307.15 K)
Now, we can calculate the number of moles of carbon dioxide gas:
n = (5.49 * 34.3) / (0.0821 * 307.15)
Once we have the number of moles, we can calculate the mass of carbon dioxide gas using the molar mass of CO2, which is approximately 44.01 g/mol.
Mass = number of moles * molar mass
Mass = n * molar mass
Mass = (5.49 * 34.3) / (0.0821 * 307.15) * 44.01
Calculating the value will give us the mass of carbon dioxide gas in grams.