There are many conflicts in Chopin's short story "The Story of an Hour." While the greatest conflict is seen within the main character of Mrs. Mallard (her internal conflict with being a woman who had been unable to be free from the constraints of an oppressive marriage), there are conflicts between her and other characters.
One example of an external conflict (man v. man) in the story is the relationship between Mrs. Mallard and her husband. She obviously feels oppressed by him. She has aged prematurely, feels as if she has no freedom, and feels like a prisoner in her own home. It is not until she is told of the death of her husband that she feels she has escaped from his oppression.
Another example of external conflict in the text is between Mrs. Mallard and her sister. While her sister wishes to help her grieve the news of her husband's death, Mrs. Mallard does not allow it. Mrs. Mallard forces her sister away in order to allow herself to contemplate the death on her own.