Why Is HNO3 Split Up in the Reactants Side?

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HNO3 is split on the reactants side because it dissociates into ions in aqueous solution, which is essential for understanding its role in the reaction. The coefficient of CuS affects the stoichiometry of the reaction, ensuring that the number of atoms and charge are balanced on both sides. The balanced reaction equation reflects the conservation of mass and charge, which is fundamental in chemical reactions. Understanding the coefficients involves applying the principles of balancing chemical equations, taking into account the oxidation states and the products formed. Overall, the discussion emphasizes the importance of proper notation and balancing in chemical equations.
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CuS precipitates dissolve in hot HNO3. The hot HNO3 oxidizes the sulfide ion in the precipitates to free elemental sulfur, forming NO(g) as its reduction product. For CuS,

3CuS(s) + 8H(aq) + 2NO3(aq) = 3Cu(aq) + 2NO(g) + 3S(s) + 4H2O(l)

I have a few questions here.
Why is HNO3 split up on the reactants side?
Does it matter what the coefficient is of CuS?
if so, how do know whether it 3 or 4 or 2?
 
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First: there should be charges in the equation.

Second: nitric acid is dissociated in water solutions.

Third: do you know what it means "balanced reaction equation"?

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