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The specific heat c of a solid at low te...

The specific heat c of a solid at low temperature shows temperature dependence according to the relation `c = D T^3` where D is a constant and T is the temperature in kelvin. A piece of this solid of mass m kg is taken and its temperature is raised from 20 K to 30 K. The amount of the heat required in the process in energy units is

A

`5xx10^4` Dm

B

`(33//4)xx10^4` Dm

C

`(65//4)xx10^4` Dm

D

`(5//4)xx10^4` Dm

Text Solution

Verified by Experts

The correct Answer is:
C
`Q=int_(T_1)^(T_2) m CdT = int_(20)^(30) mDT^3 dT implies Q=(65 mD)/(4)xx10^4`
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