by my calculations i think that if a tea spoon equals 5 grams and a table spoon equals 10grams a dessert spoon shall be in the middle so i recon that a dessert spoon should have around 7 grams
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It depends on what you are converting - there is not standard conversion of a weight unit (grams etc...) into volume units (dessertspoons). For example, a dessertspoon of lead cookery weights will weigh far more in grams, than say, a dessertspoon of meringue will. Hence the different densities of what you are weighing influence the weight of the same volume of the ingredient.