Clarkson performed some of her biggest hits including "Since U Been Gone," "Because of You," "Stronger," and "Love So Soft" from her latest album, Meaning of Life.
Corden also asked the American Idol winner to sing about everyday things as he felt her voice can make anything sound good. "Do you want the receipt? You can put it in the bag," Clarkson jokingly sang.
The car ride at one point turned into an impromptu date between Clarkson and her husband Brandon Blackstock as Corden brought in a mini dinner table and a bottle of champagne for the couple to share in the backseat.
"Just pretend I'm not here," the late night host said as he was joined by a violin player in the passenger seat.
"It feels like we're making a porn," Blackstock joked about being surrounded by cameras.