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In brief: Probably. Celery is mostly fiber and water with little food content. It has been estimated that the calories expended in preparation, eating and digesting celeray are higher than the amount ingested by eating celery. Thus you can loss calories whilst filling yourself as long as you eat plain celery. Nothing untoward can come from eating celery.
One stalk of celery contains about 10 calories. Celery is a low-calorie vegetable that supplies a healthy dose of certain nutrients. It is common to eat celery sticks with a side of ranch dressing for dipping. Ranch dressing is high in fat and sodium, but eating it with celery won't negate the health benefits of the vegetable because you're still consuming the nutrients.