What is the density of hydrogen gas at 25 degrees celius and 1 Atm?
To calculate the density of hydrogen gas at 25 degrees Celsius and 1 atmosphere (Atm), you can use the ideal gas law.
The ideal gas law equation is: PV = nRT
Where:
P = pressure of the gas (in atm)
V = volume of the gas (in liters)
n = number of moles of gas
R = ideal gas constant (0.0821 L·atm/(K·mol))
T = temperature of the gas (in Kelvin)
First, let's convert the given temperature from Celsius to Kelvin.
T(K) = T(°C) + 273.15
T(K) = 25 + 273.15
T(K) = 298.15 K
Now, we can rearrange the ideal gas law equation to solve for density.
PV = nRT
Rearranging, we get:
n/V = P/RT
The molar mass of hydrogen gas (H2) is approximately 2 g/mol. Therefore, one mole of hydrogen gas occupies 22.4 liters under standard conditions.
Now, we can substitute the values into the rearranged equation.
n/V = P/RT
n/V = (1 Atm) / (0.0821 L·atm/(K·mol) * 298.15 K)
n/V = 0.0403 mol/L
Since one mole of hydrogen gas occupies 22.4 liters, the density of hydrogen gas at 25 degrees Celsius and 1 Atm is:
Density = (0.0403 mol/L) * (2 g/mol) / (22.4 L/mol)
Density ≈ 0.0018 g/L
To determine the density of hydrogen gas at 25 degrees Celsius and 1 atmosphere (Atm), we can use the ideal gas law. The ideal gas law equation is as follows:
PV = nRT
Where:
P = pressure (in Pa or Atm)
V = volume (in m³)
n = number of moles
R = ideal gas constant (8.314 J/(mol·K) or 0.0821 L·atm/(mol·K))
T = temperature (in Kelvin)
First, we need to convert the temperature from Celsius to Kelvin. The Kelvin temperature scale does not use negative values, so 25 °C is equivalent to 298 K (25°C + 273.15).
Given that the pressure is 1 Atm, we can substitute the values into the equation as follows:
(1 Atm) * V = n * (0.0821 L·atm/(mol·K)) * (298 K)
To determine the density of hydrogen gas, we need to relate the number of moles to the volume. For this, we need to know the molar mass of hydrogen, which is approximately 2.02 g/mol.
We can rearrange the ideal gas law equation to solve for the number of moles (n):
n = (P * V) / (R * T)
Given that the molar mass of hydrogen is 2.02 g/mol, we can calculate the density:
Density = (mass of hydrogen gas) / (volume of hydrogen gas)
From the molar mass, we can find the mass of one mole of hydrogen (M):
M = 2.02 g/mol
Finally, we substitute the values into the density equation:
Density = (M * n) / V
By plugging in the appropriate values and solving the equation, you can calculate the density of hydrogen gas at 25 degrees Celsius and 1 Atm.