Place the broth and the rice in a large saucepan and bring to a boil.
Reduce to a simmer, cover, and cook for 15 minutes or until the rice is cooked.
Add the chicken. Remove the soup from heat and cover.
Whisk the eggs and lemon juice in a medium bowl until frothy.
Slowly add about 1 cup hot chicken broth to the lemon and eggs, whisking continually. Slowly stir the warmed eggs into the soup.
Ladle soup into bowls. Serve immediately with a slice of lemon.
This is delicious and quite a surprise. I would use just slightly less lemon juice, but I really loved this soup!