Iced tea is made by adding ice to 1.8 kg of hot tea. the hot tea is initially at 80˚c. 1.4 kg of ice, initially at –10˚c, is placed in the tea and allowed to come to thermal equilibrium inside a thermos. you can assume the hot tea is essentially all water. what will be the final temperature of this system?

Explanation:

Given:

We, know

Heat required for warming of ice upto 0°C from -10°C

Heat released during the cooling of tea upto 0°C from 80°C

∵

∴The heat from the quantity that remains after bringing the ice to 0°C will be used for melting the ice.

Heat remaining afterthis process:

= 572984 J

Amount of heat energy required by the total mass of ice to melt at 0°C:

Now, the remaining of the heat will be used to raise the temperature of the tea (water) from 0°C to a higher temperature.

Heat remaining after melting the total ice into water at 0°C which will increases the temperature of water:

Now, the final temperature of the tea(water)rising from 0°C:

∵whole ice(along with tea) is now water with initial temperature = 0°C

where:

= final temperature

an ion is a charged atom or molecule. it is charged because the number of electrons do not equal the number of protons in the atom or molecule. an atom can acquire a positive charge or a negative charge depending on whether the number of electrons in an atom is greater or less then the number of protons in the atom.