Muirhead then missed a hack-weight double takeout to allow Canada a steal in the second end. Jones' team went ahead 3-0 and never looked back.
In the eighth, the usually reserved Jones pumped her fists after making a pressurized double takeout to ensure the end was blanked, leaving Canada 5-3 in the lead.
Muirhead could only draw to the button for one point in the ninth and the British needed a steal at the last. They couldn't do it.
The Canadians jumped up and down in a circle and their players threw both fists in the air. Sloan was tearful after coming off the ice.
There was never more than a point separating Sweden and Switzerland until Ott's bold last rock sailed past another of her own stones in the house as she tried to make a split for two points.
Sweden's celebrations were similar to those of the Canadians, their players linking arms in sheer joy.
"It was a really exciting, close game and it's just great, great happiness," Sweden skip Margaretha Sigfridsson said.
Sweden won the last two Olympic titles under skip Anette Norberg, who is in Sochi working for a Swedish TV station.
Canada is assured of winning a medal in women's curling for a fifth straight Olympics.