The specific heat of a certain substance is 0 . 86 J g - 1 K - 1 . Assuming ideal solution behavior, the energy required (in J ) to heat 10 g of 1 molal of its aqueous solution from 300 K to 310 K is closest to : [Given: molar mass of the substance = 58 g mol - 1 ; specific heat of water = 4 . 2 J g - 1 K - 1 ]

Question

The specific heat of a certain substance is 0 . 86 J g - 1 K - 1 . Assuming ideal solution behavior, the energy required (in J ) to heat 10 g of 1 molal of its aqueous solution from 300 K to 310 K is closest to : [Given: molar mass of the substance = 58 g mol - 1 ; specific heat of water = 4 . 2 J g - 1 K - 1 ], 401 . 7, 424 . 7, 420 . 0, 86 . 0

MARKS App · Accepted Answer

Specific heat capacity of substance = 0 . 86 J g - 1 K - 1 1 molal aqueous solution ⇒ 1000 gm water has 58 gm solute (total mass of solution = 1058 gm ) If we take 10 gm solution it would have water = 1000 1058 × 10 gm substance = 58 1058 × 10 gm Heat required = 1000 1058 × 10 × 4 . 2 × 10 (for water) = 396 . 975 58 1058 × 10 × 0 . 86 × 10 (for substance) = 4 . 715 = 396 . 975 + 4 . 715 = 401 . 69 ≃ 401 . 7

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