Question

In lab you submerge 100 g of 40 ∘C iron nails in 100 g of 22 ∘C water (the specific heat of iron is 0.12 cal/g∘C.)

A. Equate the heat gained by the water to the heat lost by the nails and find the final temperature of the water.

B. Your lab partner is surprised by the result and says that since the masses of iron and water are equal, the final water temperature should lie closer to 31 ∘C, half-way between. What is your explanation?

Answer 1

Here we apply concept of calorimetry. Heat gained by lower temperature substance is equal to heat lost by higher temperature substance.

Mass aixonalla af waserl00gM AN Specichcat ater u= caloc Specfic heatof iron, Cre 12caln fial Equilitu eaperatueTeay Thia aibe final empexatue of bath gaieey Water M CoTea,-22 00)C (Teq228). Heat lort i Heat Tea CLOD) (O122C4-Tea 40 fe Tery Teap 12 Tey 4.80 22 26:8 1-12 17 Te 23.9.3°C final demperataxe &t woder a 23-9 Au inal dempera tue 239 hic js nat °C ie halt tal be caue difference pecific heat capacrty f bofh nai uder Culater Grail final temperature near deiaia Jaer doueraure dn