A copper ball of mass $100\ gm$ is at a temperature $T$. It is dropped in a copper calorimeter of mass $100\ gm$, filled with $170\ gm$ of water at room temperature. Subsequently, the temperature of the system is found to be $75^o C$. $T$ is given by......$^oC$ (Given : room temperature $= 30^o C$, specific heat of copper $=$ $0.1$ $cal/gm^o C$)
$800$
$885$
$1250 $
$825$
A drilling machine of $10\,KW$ power is used to drill a bore in a small aluminium block of mass $8\,kg.$ If $50\%$ of power is used up in heating the machine itself or lost to the surroundings then ........ $^oC$ is the rise in temperature of the block in $2.5\,minutes$
[specific heat of aluminium $= 0.91\,J/g\,\,^oc$ ]
Latent heat of ice is $80 \,cal/gm$. A man melts $60\, g$ of ice by chewing in $1$ minute. His power is ........ $W$
A liquid at $30^{\circ} C$ is poured very slowly into a Calorimeter that is at temperature of $110^{\circ} C$. The boiling temperature of the liquid is $80^{\circ} C$. It is found that the first $5 gm$ of the liquid completely evaporates. After pouring another $80 gm$ of the liquid the equilibrium temperature is found to be $50^{\circ} C$. The ratio of the Latent heat of the liquid to its specific heat will be. . . . .${ }^{\circ} C$. [Neglect the heat exchange with surrounding]
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 $50\,^oC$
In an experiment a sphere of aluminium of mass $0.20\, kg$ is heated upto $150\,^oC$. Immediately, it is put into water of volume $150\, cc$ at $27\,^oC$ kept in a calorimeter of water equivalent to $0.025\, kg$. Final temperature of the system is $40\,^oC$. The specific heat of aluminium is ............ $J/kg\,-\,^oC$ (take $4.2\, Joule= 1\, calorie$)