Question 192: Thermodynamics & KTG

Question

$$
	ext { Match List - I with List - II. }
$$

$$ \begin{array}{lll}  & 	ext { List - I } & {List - II }\ 	ext { } \ 	ext { (A) } & 	ext { Heat capacity of body } & 	ext { (I) } \mathrm{J} \mathrm{~kg}^{-1} \ 	ext { (B) } & 	ext { Specific heat capacity of body } & 	ext { (II) } \mathrm{J} \mathrm{~K}^{-1} \ 	ext { (C) } & 	ext { Latent heat } & 	ext { (III) } \mathrm{J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1} \ 	ext { (D) } & 	ext { Thermal conductivity } & 	ext { (IV) } \mathrm{J} \mathrm{~m}^{-1} \mathrm{~K}^{-1} \mathrm{~s}^{-1} \end{array} $$
$$
	ext { Choose the correct answer from the options given below : }
$$

Accepted Answer

To match the entries in List-I with their corresponding units in List-II, we can use the definitions and formulas related to each concept in thermal physics:
Heat Capacity of a Body (C')
is defined as:
$    C' = \frac{\Delta Q}{\Delta T}    $
The unit for heat capacity (C') is Joules per Kelvin (J K$^{-1}$).
Specific Heat Capacity of a Body (S)
indicates how much heat energy is required to change the temperature of a unit mass of a substance by one degree Kelvin:
$    S = \frac{\Delta Q}{m \Delta T}    $
The unit for specific heat capacity (S) is Joules per kilogram per Kelvin (J kg$^{-1}$ K$^{-1}$).
Latent Heat (L)
is the heat energy absorbed or released during a phase change of a substance at a constant temperature:
$    L = \frac{\Delta Q}{m}    $
The unit for latent heat (L) is Joules per kilogram (J kg$^{-1}$).
Thermal Conductivity (K)
measures the ability of a material to conduct heat:
$    \Delta Q = \frac{KA \Delta T}{L} \quad \Rightarrow \quad K = \frac{\Delta Q \cdot L}{A \Delta T}    $
The unit for thermal conductivity (K) is Joules per meter per Kelvin per second (J m$^{-1}$ K$^{-1}$ s$^{-1}$).
Using these formulas and their corresponding units, the correct matches are:
(A) Heat capacity of body $\rightarrow$ (II) J K$^{-1}$
(B) Specific heat capacity of body $\rightarrow$ (III) J kg$^{-1}$ K$^{-1}$
(C) Latent heat $\rightarrow$ (I) J kg$^{-1}$
(D) Thermal conductivity $\rightarrow$ (IV) J m$^{-1}$ K$^{-1}$ s$^{-1}$

Answer

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

Answer

(A)-(III), (B)-(I), (C)-(II), (D)-(IV)

Answer

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

Answer

(A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Thermodynamics & KTG

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