how to calculate a density of c4h6 in g/l at stp
To calculate the density of C4H6 at STP (Standard Temperature and Pressure) in g/L, you will need to know the molar mass of C4H6, which is also known as butene.
Here are the steps to calculate the density:
1. Start by determining the molar mass of C4H6 (butene). The molar masses of carbon (C) and hydrogen (H) are:
- Carbon (C) = 12.01 g/mol
- Hydrogen (H) = 1.01 g/mol
C4H6 consists of 4 carbon atoms and 6 hydrogen atoms. Therefore, the molar mass of C4H6 is calculated as follows:
(4 x molar mass of carbon) + (6 x molar mass of hydrogen) = (4 x 12.01) + (6 x 1.01) = 56.06 g/mol
2. Now, you can use the molar mass of C4H6 to calculate the density. At STP, the conditions are a temperature of 273.15 K (0 °C or 32 °F) and a pressure of 1 atmosphere (atm).
The ideal gas law formula is: PV = nRT
Where,
P = Pressure (1 atm)
V = Volume (unknown)
n = Number of moles of gas (unknown)
R = Ideal gas constant (0.0821 L.atm/mol.K)
T = Temperature (273.15 K)
3. Rearrange the ideal gas law formula to solve for density. Density (d) is defined as mass (m) divided by volume (V). Volume (V) can be expressed as the number of moles (n) multiplied by the molar volume (Vm), which is the volume occupied by one mole of a gas at STP. The relationship between molar volume and STP is approximately 22.4 L/mol.
V = n x Vm = n x 22.4 L/mol
Therefore, rearranging the formula to solve for density (d):
d = m/V = m / (n x Vm) = m / (n x 22.4)
4. Substitute the known values into the formula. You need to know the mass (m) of C4H6. Let's say it is 10 g.
d = 10 g / (n x 22.4 L/mol)
5. To find the value of n (number of moles), you can use the equation:
n = m / M (where M is the molar mass of C4H6)
Substitute the values into the equation:
n = 10 g / 56.06 g/mol = 0.178 mol
6. Finally, substitute the value of n into the density equation:
d = 10 g / (0.178 mol x 22.4 L/mol)
Calculating this gives you the density of C4H6 at STP in g/L.