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The valency of As in As2O3 is +3. Here's why:
Oxygen always has a valency of -2.
Arsenic has a variable valency, but in As2O3, it has a +3 valency to balance the charges.
To calculate this, consider the following:
Two arsenic atoms: 2As
Three oxygen atoms: 3O
The total negative charge from the oxygen is 3 x (-2) = -6
To balance this, each arsenic atom must have a +3 charge, giving a total of 2 x (+3) = +6.