Your equation is almost correct. But the formula for barium nitrate is Ba(NO3)2, not BaNO3. Barium forms a 2+ ion, and the nitrate anion has a 1- charge, so two of the are needed to balance out the barium. That makes the chemical equation:

Ba(NO3)2 + Na2SO4 --> BaSO4 +...

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Your equation is almost correct. But the formula for barium nitrate is Ba(NO3)2, not BaNO3. Barium forms a 2+ ion, and the nitrate anion has a 1- charge, so two of the are needed to balance out the barium. That makes the chemical equation:

Ba(NO3)2 + Na2SO4 --> BaSO4 + 2NaNO3

Now all of the atoms on both sides of the equation balanced out. Always remember to count the different atoms on both sides of the equation to see if it is balanced or not. In terms of the word equation, you are correct. Barium nitrate plus sodium sulfate gives barium sulfate plus sodium nitrate.