The specific heat capacity of a substance is temperature dependent and is given by the formula $C=k T$, where $k$ is a constant of suitable dimensions in $SI$ units, and $T$ is the absolute temperature. If the heat required to raise the temperature of $1 \ kg$ of the substance from $-73^{\circ} C$ to $27^{\circ} C$ is $n k$, the value of $n$ is. . . . . .[Given: $0 K =-273^{\circ} C$.]

At a power station, heat is removed from the heat exchanger by cooling water at $6.7 × 10^9\ J$ per minute. The cooling water enters at $6.0\ ^oC$ and leaves at $14.0\ ^oC$ . [Take the specific heat capacity of water $4200\ J/kg^oC$ ] Which of the following is the rate of water flow?

On which factors does the heat capacity depends ?

In a water-fall the water falls from a height of $100\,m.$ If the entire $K.E.$ of water is converted into heat, the rise in temperature of water will be…….. $^oC$

If two balls of same metal weighing $5\, gm$ and $10\, gm$ strike with a target with the same velocity. The heat energy so developed is used for raising their temperature alone, then the temperature will be higher