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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

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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.

This problem has been solved

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