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Yes, they do.

Different gases have different weight. It is because atoms of different gases have different Atomic Mass. It can be understood by the following example.

For example, there are two balloons (A and B) of equal capacity. Fill balloon A with 30,000 atoms of hydrogen and balloon B with 30,000 atoms of chlorine. Thus, balloon A is filled with hydrogen gas and balloon B with chlorine gas.

Now, calculate its mass:

Balloon A :

30,000 x 1 = 30,000 amu.

Balloon B :

30,000 x 35.5 = 1,065,000 amu.

Whereas, 30,000 is the number of atoms; 1 is the atomic mass of hydrogen atom; and 35.5 is the mass of chlorine atom. amu is used for atomic mass unit.

From the above mentioned we can assume that different gases have different weight.

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