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…

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 $= 4.2 J g^{- 1} K^{- 1}$ ]

MARKS Content Team · Accepted Answer

Correct answer: (A) 401.7. 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

Solution

More Thermodynamics (C) Questions

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]

Solution

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