Is This the Correct Balanced Equation for Producing Bleach?

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The discussion centers on the correct balanced chemical equation for producing bleach through the reaction of chlorine gas with sodium hydroxide. The proposed equation is Cl2 + 2NaOH -> NaCl + NaClO + H2O. Participants are asked to verify the accuracy of this equation. The equation appears to be correct as it balances the reactants and products appropriately. The conversation emphasizes the importance of accurate chemical equations in understanding the production of bleach.
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Could anyone help me with this, i have an answer but I am sure its not right.

Bleach is an aqueous solution of sodium chloride and sodium chlorate(l), NaClO, in a 1:1 ratio. It is produced by dissolving chlorine gas in cold dilute aqueous sodium hydroxide.

a) write a balanced equation for the reaction of chlorine with sodium hydroxide to form bleach.

Ive got:
Cl2 + 2NaOH -> NaCl + NaClO + H20.

anyone check this for me?
 
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