What are the spectator ions in the equation #2Na^+(aq) + SO_4 ^(2-) (aq) + Ba^(2+)(aq) + 2Cl^(-)(aq) → BaSO_4(s) + 2Na^+(aq) + 2Cl^(-) (aq)#?
The spectator ions are the ones that can be cancelled out of the equation:
IF GIVEN,
This is known as the "net ionic equation." The spectator ions do not contribute to macroscopic chemical change; they are merely along for the ride.
We do something similar in algebra when we subtract something from BOTH sides of the equation, and that is all I have done here, subtracting the common reagents from each side of the equation.
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In this equation, the spectator ions are Na^+(aq) and Cl^(-)(aq).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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