Question

An insulated aluminum calorimeter vessel of 150 g mass contains 300 g of liquid nitrogen boiling at 77 K. A metal block at an initial temperature of 303 K is dropped into the liquid nitrogen. It boils away 15.8 g of nitrogen in reaching thermal equilibrium. The block is then withdrawn from the nitrogen and quickly transferred to a second insulated copper calorimeter vessel of 200 g mass containing 500 g of water at 30.1 degrees celsius. The block coolds te water to 28.6 degrees celsius. The specific heat of water is 4.186 J/g degrees celsius, the specific heat of copper is 0.390 J/g degrees celsius, and the specific heat of aluminum is 0.900 J/g degrees celsius.

There are ______ J of heat transferred from the water to the block in the second calorimeter

There are ______ J of heat transferred from the copper to the block in the second calorimeter

There are ______ J of heat transferred from the block to the liquid nitrogen in the first calorimeter

Answer 1

Heat of vaporization of liquid nitrogen= 200 J/gm. mass of nitrogen evaporated =15.8 gm

heat transferred from aluminium block to liquid nitrogen = heat of vaporization* mass of nitrogen =200*15.8 Joules =3160 joules

2. heat added to water= mass of water* specific heat* temperature difference of water= 500*4.184*(30.1-28.6)= 3138 joules

3. Heat carried by blcok to the second calorimeter= heat taken by water+ heat taken by copper

heat taken by copper= 3160-3138= 22 joules