The number of hydrogen gas present in 2.24dm3 of the gas at S.T.P
Since 1 mole occupies 22.4 dm^3, that would be 0.1 mole.
So, how many molecules is that?
To find the number of hydrogen gas present in 2.24 dm^3 of the gas at standard temperature and pressure (STP), we can use the ideal gas law.
At STP, one mole of any gas occupies 22.4 dm^3 of volume.
First, we need to calculate the number of moles of hydrogen gas present in 2.24 dm^3.
Number of moles = Volume / Molar volume
Number of moles = 2.24 dm^3 / 22.4 dm^3/mol
Number of moles = 0.1 mol
Therefore, there are 0.1 moles of hydrogen gas in 2.24 dm^3 at STP.
To calculate the number of hydrogen gas molecules, we can use Avogadro's number which states that there are 6.022 x 10^23 molecules in one mole of any substance.
Number of molecules = Number of moles * Avogadro's number
Number of molecules = 0.1 mol * (6.022 x 10^23 molecules/mol)
Number of molecules = 6.022 x 10^22 molecules
Therefore, there are approximately 6.022 x 10^22 hydrogen gas molecules in 2.24 dm^3 at STP.
To find the number of hydrogen gas molecules present in 2.24 dm3 of the gas at Standard Temperature and Pressure (STP), we need to use the ideal gas law and Avogadro's principle.
Avogadro's principle states that equal volumes of gases, at the same temperature and pressure, contain the same number of molecules.
At STP, the temperature is 0 degrees Celsius or 273.15 Kelvin, and the pressure is 1 atmosphere (atm). We also need to know the molar volume of a gas at STP, which is 22.4 liters/mol.
First, we convert the volume from dm3 to liters:
2.24 dm3 = 2.24 liters
Next, we calculate the number of moles of hydrogen gas using the ideal gas law:
PV = nRT
Where:
P is the pressure in atm (1 atm)
V is the volume in liters (2.24 liters)
n is the number of moles (unknown)
R is the ideal gas constant (0.0821 L·atm/mol·K)
T is the temperature in Kelvin (273.15 K)
Rearranging the equation, we can solve for n:
n = PV / RT
Substituting the values into the equation:
n = (1 atm) x (2.24 liters) / (0.0821 L·atm/mol·K) x (273.15 K)
Simplifying the equation:
n ≈ 0.106 moles
Now, we can use Avogadro's principle to calculate the number of hydrogen gas molecules. Since 1 mole of any gas contains 6.022 x 10^23 molecules (Avogadro's number), we multiply the number of moles by Avogadro's number:
Number of molecules = 0.106 moles x 6.022 x 10^23 molecules/mole
Calculating this expression, we can find the number of hydrogen gas molecules present in 2.24 dm3 of the gas at STP.