An is an Alkane with a relative molecular mass of 72 find the molecular formular of x and the molar mass of an alkane that is represented as CxH22
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To find the molecular formula of an alkane with a relative molecular mass of 72, we need to determine the number of carbon atoms in the molecule.
The general formula for alkanes is CxH2x+2, where x represents the number of carbon atoms.
Given that the relative molecular mass is 72, we can set up an equation to solve for x:
Relative molecular mass = (12 * x) + (1 * 2x + 2)
72 = 12x + 2(2x + 2)
Simplifying the equation:
72 = 12x + 4x + 4
72 = 16x + 4
68 = 16x
Dividing both sides of the equation by 16:
x = 68 / 16
x = 4.25
Since x cannot be a decimal, we need to round it to the nearest whole number. Therefore, x = 4.
Now we can determine the molecular formula of the alkane:
CxH2x+2 = C4H2(4) + 2
CxH2x+2 = C4H10
So, the molecular formula of the alkane is C4H10.
To find the molar mass of this alkane, we can use the atomic masses of carbon (C) and hydrogen (H):
Molar mass = (atomic mass of carbon * number of carbon atoms) + (atomic mass of hydrogen * number of hydrogen atoms)
Molar mass = (12 * 4) + (1 * 10)
Molar mass = 48 + 10
Molar mass = 58 g/mol
Therefore, the molar mass of the alkane represented as C4H10 is 58 g/mol.
To determine the molecular formula of the alkane (CxH22) and the value of x, we need to use the concept of relative molecular mass and the molar mass of hydrogen (H).
Given:
Relative molecular mass of alkane = 72
Molecular formula of alkane = CxH22
The relative molecular mass of a compound is the sum of the atomic masses of all its constituent atoms. To calculate it, we need to know the atomic masses of carbon (C) and hydrogen (H).
The atomic mass of carbon (C) is approximately 12 grams/mol, and the atomic mass of hydrogen (H) is approximately 1 gram/mol.
The molecular formula CxH22 represents x carbon atoms and 22 hydrogen atoms. Since we're given that the relative molecular mass is 72, we can set up the equation:
(Atomic mass of C * x) + (Atomic mass of H * 22) = 72
Plugging in the known values, the equation becomes:
(12 * x) + (1 * 22) = 72
Rearranging the equation, we get:
12x + 22 = 72
Subtracting 22 from both sides:
12x = 72 - 22
12x = 50
Dividing both sides by 12:
x = 50/12
x ≈ 4.17
Since we cannot have a fraction of a carbon atom, we need to round the value of x. Therefore, the molecular formula of the alkane is C4H22.
To find the molar mass of C4H22, we add up the atomic masses of all the atoms in the molecule:
(Atomic mass of C * 4) + (Atomic mass of H * 22)
Plugging in the atomic masses:
(12 * 4) + (1 * 22)
48 + 22
70 grams/mol
So, the molar mass of the alkane C4H22 is approximately 70 grams/mol.