When a 290-g piece of iron at 180 ∘c is placed in a 95-g aluminum calorimeter cup containing 250 g of glycerin at 10 ∘c, the final temperature is observed to be 38 ∘c. Estimate the specific heat capacity of glycerin. The specific heat capacity of iron is 450 J/(kg K), and that of aluminium is 900 J/(kg K).