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Question
The gases chlorine, nitrogen, ammonia and sulphur dioxide are collected under the same conditions of temperature and pressure. The following table gives the volumes of gases collected and the number of molecules (x) in 20 litres of nitrogen. You are to complete the table giving the number of molecules in the other gases in terms of x.
Gas | Volume (in litres) | Number of molecules |
Chlorine | 10 | x |
Nitrogen | 20 | |
Ammonia | 20 | |
Sulphur dioxide | 5 |
Solution
Gas | Volume (in litres) | Number of molecules |
Chlorine | 10 | `"x"/2` |
Nitrogen | 20 | x |
Ammonia | 20 | x |
Sulphur dioxide | 5 | `"x"/4` |
According to 'Avogadro's Law, "Equal volumes of all gases, under similar conditions of temperature and pressure, contain equal number of molecules."
∴ 20 lit. nitrogen contains x molecules
∴ 10 lit. of chlorine will contain = `(x xx 10)/20`
= `x/2` mole
and 20 lit. of Ammonia will also contain = x molecules
and 5 lit. of SO2 will contain = `(x xx 5)/20`
= `x/4` mole
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