JEE MAIN - Chemistry (2005 - No. 54)
If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of the substance will
be a function of the molecular mass of the substance
remain unchanged
increase two fold
decrease twice
Explanation
Let Relative Atomic Mass is in short R.A.M then
R.A.M = $${{mass\,of\,1\,atom} \over {{1 \over {12}} \times mass\,of\,1\,atom\,of\,{C^{12}}}}$$
$$ \Rightarrow $$ $${{mass\,of\,1\,atom} \over {mass\,of\,1\,atom\,of\,{C^{12}}}}$$ $$\times$$ 12
Now if we take 1/6 instead of 1/12 at first then the equation will become
$$ \Rightarrow $$ $${{mass\,of\,1\,atom} \over {mass\,of\,1\,atom\,of\,{C^{12}}}}$$ $$\times$$ 6
as 6 is half of 12 then R.A.M will decrease twice.
R.A.M = $${{mass\,of\,1\,atom} \over {{1 \over {12}} \times mass\,of\,1\,atom\,of\,{C^{12}}}}$$
$$ \Rightarrow $$ $${{mass\,of\,1\,atom} \over {mass\,of\,1\,atom\,of\,{C^{12}}}}$$ $$\times$$ 12
Now if we take 1/6 instead of 1/12 at first then the equation will become
$$ \Rightarrow $$ $${{mass\,of\,1\,atom} \over {mass\,of\,1\,atom\,of\,{C^{12}}}}$$ $$\times$$ 6
as 6 is half of 12 then R.A.M will decrease twice.
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