Question

In one measurement the following values were obtained :

mass of the substance: M=1.3kg,

Power used : P=8.1W

Slope of the Temp vs Time: S=0.027 ^oC/sec.

Knowing that the error on each measured value was 5%

the error on specific heat capacity is (in J/(kg ^oC)

(values may be non-physical )

Answer 1

We have the total heat required for a substance of mass kg with specific heat capacity of to rise temperature by is,

ie,

If the total time taken for heating is sec.

Dividing the above eqn by   sec,

ie,

But,

So, (Since mass and specific capacity remains the constants.)

Also the slope of the temperature v/s time graph,

So,eqn becomes,

So,Specific heat capacity,

So,The absolute error of specific heat capacity,

Also we have given,mass of substance,

Power used, ,Slope,

So,The value of specific heat capacity,

Also error on each measurement are 5%,

So,

Implies,

So,The error in specific heat capacity,

The error in specific heat capacity,