Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks?

Since a week has 7 days, a 2-week period consists of 2 * 7 = <<2*7=14>>14 days.

Since a day is comprised of 24 hours, in a 2-week period Carol practices a total of 14 * 24 = <<14*24=336>>336 hours.
Since there are 5 weeks in a 5-week period, in a 5-week period Carol practices a total of 336 * 5 = <<336*5=1680>>1680 hours. Answer: \boxed{1680}.