Is Chinese a race

No, Chinese is not a race. It's a national origin, nationality, and demonym for the people of China. People from the continent of Asia are termed "Asians" for racial purposes. However, in Anthropology, race is not determined based on skin color.

Race is determined base on skull size, shape, and features. Chinese people would most likely fall into the Mongoloidal classification in Anthropology. Some in other regions of China and Asia may fall into the Caucasoidal category.