What is calorimetry ? What is calorimeter ? Explain its principle and construction.
Calorimetry means measurement of heat.
A device in which heat measurement can be made is called calorimeter.
When there is no heat exchange between system and surroundings, then it is called isolated system.
When different parts of an isolated system are at different temperature, a quantity of heat
transfers from the part at higher temperature to the part at lower temperature. The heat lost by
the part at higher temperature is equal to the heat gained by the part at lower temperature.
When a body at higher temperature is brought in contact with another body at lower
temperature, the heat lost by the hot body is equal to the heat gained by the colder body,
provided no heat is allowed to escape to the surroundings.
Construction :
It consists a metallic vessel and stirrer of the same material like copper or aluminium.
The vessel is kept inside a wooden jacket which contains heat insulating materials like glass,
wool etc.
The outer jacket acts as a heat shield and reduces the heat loss from the inner vessel.
There is an opening in the outer jacket through which a mercury thermometer can be inserted
into the calorimeter.
A $100 \,g$ of iron nail is hit by a $1.5\, kg$ hammer striking at a velocity of $60\, ms ^{-1}$. $............^{\circ}C$ will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail .
[Specific heat capacity of iron $=0.42\, Jg ^{-1}{ }\,^{\circ}C ^{-1}$ ]
A water cooler of storage capacity $120$ litres can cool water at a constant rate of $P$ watts. In a closed circulation system (as shown schematically in the figure), tr e wat'r from the cooler is used to cool an external device that generates constantly $3 \mathrm{~kW}$ of heat (thermal load). The temperature of water fed into the device cannot exceed $30^{\circ} \mathrm{C}$ and the e.tire stored $120$ litres of water is initially cooled to $10^{\circ} \mathrm{C}$. The entire system is thermally insulat $\mathrm{d}$. The minimum value of $P$ (in watts) for which the device can be operated for $3$ hours is
(Specific heat of water is $4.2 \mathrm{~kJ}^{-1} \mathrm{~kg}^{-1}$ and the density of water is $10.$) $0 \mathrm{k}^2 \mathrm{~m}^{-3}$ )
Two tanks $A$ and $B$ contain water at $30\,^oC$ and $80\,^oC$ respectively. Calculate the amount of water that must be taken from each tank to prepare $40\,kg$ water at $50\,^oC$
$5\, g$ of ice at $0°C$ is dropped in a beaker containing $20\, g$ of water at $40°C.$ The final temperature will be........ $^oC$
sphere of $0.047 \;kg$ aluminium is placed for sufficient time in a vessel containing boiling water, so that the sphere is at $100\,^{\circ} C .$ It is then immediately transfered to $0.14 \;kg$ copper calorimeter containing $0.25\; kg$ water at $20\,^{\circ} C$. The temperature of water rises and attains a steady state at $23\,^{\circ} C$. Calculate the specific heat capacity of aluminium in $kJ\;kg^{-1} K^{-1}$