What is the kilowatt equivalent of raising one cubic meter of water one meter in one second?

I get 9.8 kilowatts by the following reasoning. One cubic meter of water has a mass of 1000 kg, by definition, and a weight of 9800 Newtons at the earth's surface. One watt is one Newton-meter per second, by definition. Therefore, one cubic meter of water per second is 9.8 kilowatts per meter. Is this right?
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