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Chemistry · THERMODYNAMICS

हिन्दी

A sample of 250 g of a substance with molar mass \( 50\text{ g mol}^{-1} \) absorbs heat such that its temperature increases from 298 K to 323 K. If its specific heat capacity is \( 2.40\text{ J g}^{-1}\text{ K}^{-1} \), the total heat absorbed (\( q \)) and the molar heat capacity (\( C_m \)) of the substance are respectively:

  1. A
    60.0 kJ and 60.0 J mol⁻¹ K⁻¹
  2. B
    15.0 kJ and 60.0 J mol⁻¹ K⁻¹
  3. C
    15.0 kJ and 120.0 J mol⁻¹ K⁻¹
  4. D
    30.0 kJ and 120.0 J mol⁻¹ K⁻¹

Correct answer · Option C

15.0 kJ and 120.0 J mol⁻¹ K⁻¹

Explanation

\( q = m \cdot c \cdot \Delta T = 250 \times 2.40 \times 25 = 15000\text{ J} = 15.0\text{ kJ} \). Molar heat capacity \( C_m = c \times M = 2.40 \times 50 = 120.0\text{ J mol}^{-1}\text{ K}^{-1} \).
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