A gas is found to have the formula (S2)x. It's vapour density is 128. Find the value of x :-1234
Question
A gas is found to have the formula (S2)x
. Its vapour density is 128. Find the value of x :-1234
Solution
To find the value of x in the formula (S2)x, we need to use the concept of vapor density.
Vapor density is defined as the ratio of the molar mass of a gas to the molar mass of hydrogen gas (H2), which is taken as a reference.
The molar mass of hydrogen gas is approximately 2 g/mol.
Given that the vapor density of the gas is 128, we can set up the following equation:
Vapor density = (Molar mass of gas) / (Molar mass of H2)
128 = (Molar mass of (S2)x) / 2
To find the molar mass of (S2)x, we need to determine the molar mass of sulfur (S).
The molar mass of sulfur is approximately 32 g/mol.
Since the formula (S2)x indicates that there are two sulfur atoms in each molecule, the molar mass of (S2)x can be calculated as:
Molar mass of (S2)x = (2 * Molar mass of S) * x
Substituting the values into the equation, we have:
128 = [(2 * 32) * x] / 2
Simplifying the equation, we get:
128 = 32 * x
Dividing both sides by 32, we find:
x = 4
Therefore, the value of x in the formula (S2)x is 4.
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