A piece of aluminum metal at an initial temperature of 97.3°C was placed in a calorimeter containing 49.0g of water at an initial temperature of 22.0°C. The two were allowed to come to thermal equilibrium and the final temperature was 24.1°C. The specific heats of water and aluminum are 4.184 J/g °C and 0.902 J/g °C, respectively. What was the mass of the Al piece that was added?

0.153 g

Explanation:

Because the aluminum metal was at a higher temperature, it loses heat while the water gains heat. By the principle of mixtures, heat lost by hot material is the same heat gained by colder material, assuming there is no heat loss to the environment.

We work under the assumption that the heat gained by the calorimeter is negligible.

Heat lost by metal

where m, c and Δθ are the mass, specific heat  and change in temperature of the aluminum.

Heat gained by water

Equating both energy equations,

! 55 !  

write a paragraph or story to explain the transformation between potential and kinetic energy as shown in your picture or model.  

you should have at least 5 complete sentences with a main idea and supporting details.  

you must include the following words:  

potential energy

kinetic energy

mechanical energy

conservation of energy

dude, this is hard lol : ))

cell differentiation  is how generic embryonic  cells  become specialized  cells. this occurs  through a process called gene expression. gene expression is the specific combination of genes that are turned on or off (expressed or repressed), and this is what dictates how a  cell  functions.

explanation: