1.

The figure shows the variation of specific heat capacity (C ) of a solid as a function of temperature (T). The temperature is increased continuously from 0 to 500 K at a constant rate. Ignoring any volume change, the following statements(s) is/are correct to a reasonable approximation.

Answer»

The rate at which heat is ABSORBED in the range 0-100 K varies linearly with temperature T
Heat absorbed in increasing the temperature from 0-100 K is less than the heat required for increasing the temperature from 400-500 K
There is no change in the rate of heat absorption in the range 400-500 K
The rate of heat absorption increases in the range 200-300 K

Solution :According to definition of specific heat CAPACITY,
`C=(DeltaQ)/(mDeltaT)orDeltaQ=mCDeltaT`
`therefore (DeltaQ)/(Deltat)=mC(DeltaT)/(Deltat)`
Rate of heat absorbed = `R=(DeltaQ)/(Deltat)`
`therefore RpropC`
(a) In 0-100 K, C increases with T but not linearly. So R increases but not linearly.
(B) As `DeltaQ=mCDeltaT`
`therefore Q=m intCDeltaT=m` AREA under C-T curve
From the graph it is clear that area under C-T is more in 400-500 K than in 0-100 K.
Therefore, heat absorbed in 0-100 K is less than in 400 - 500 K.
(c ) In 400-500 K, C REMAINS constant, so there is no change in R.
(d) In 200-300 K, C increases so R increases.


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