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Which of the following is are not true about th... - JAMB Physics 2023 Question

 

Which of the following is/are not true about the heat capacity of a substance?
(i) It is an intensive property
(ii) Its S.I unit is \(jK-1\)
(iii) It is an extensive property
(iv) Its S.I unit is \(jkg-1\)

A

(i) and (iii) only

B

(i), (ii) and (iv) only

C

(i) and (iv) only

D

(ii) and (iii) only

correct option: c

(i) It is an intensive property: False
   - Heat capacity is an extensive property, meaning it depends on the amount of substance. The heat capacity of an object is directly proportional to its mass.

(ii) Its SI unit is \(J \cdot K^{-1}\): True
   - The SI unit of heat capacity is indeed joules per kelvin (\(J \cdot K^{-1}\)).

(iii) It is an extensive property: True
   - As mentioned earlier, heat capacity is an extensive property because it depends on the amount (mass) of the substance.

(iv) Its SI unit is \(J \cdot kg^{-1}\): False
   - The correct SI unit for heat capacity is \(J \cdot K^{-1}\) or \(J/^\circ C\). The unit \(J \cdot kg^{-1}\) is specific heat capacity, which is an intensive property.

Therefore, the statements (i) and (iv) are not true about the heat capacity of a substance.

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