A heater supplying constant power P watt...

A heater supplying constant power P watts is switched on at time t=0 minutes to raise the temperature of a liquid kept in a calorimeter of negligible heat capacity. A student records the temperature of the liquid T(t) at equal time intervals. A graph is plotted with T(t) on the y-axis versus t on the x-axis. Assume that there is no heat loss to the surroundings during heating. Then,

the graph is a straight line parallel to the time axis

the heat capacity of the liquid is inversely proportional to the slope of the graph.

If some heat were lost at a constant rate to the surroundings during heating, the graph would be a straight line but with a larger slope

the internal energy of the liquid increases quadratically with time.

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