Suppose the specific heat capacity of a substance is varying with temperature according…

Physics · JEE Advanced · NTA ExamsThermodynamics

Suppose the specific heat capacity of a substance is varying with temperature according to, s = A + BT2 where A and B are positive constants and T is temperature in °C. If temperature of m kg of this substance has to raise from T°C to 2T°C, then the amount of energy supplied to the substance is
  1. \(\mathrm{m}\left[\mathrm{AT}+\frac{7 \mathrm{BT}^{3}}{3}\right] \mathrm{J}\)
  2. \(\mathrm{m}\left[\mathrm{AT}+\frac{5 \mathrm{BT}^{3}}{3}\right] \mathrm{J}\)
  3. m [AT + 2BT3] J
  4. None of these

Answer

(A) m [ AT + 7 BT ^ 3 3 ] J

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