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The specific heat of a certain substance...

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 is closed to :
[Given molar mass of the substance = 58 g `"mol"^(-1) `, specific heat of water = `4.2 J g^(-1) K^(-1)`]

A

401.7

B

424.7

C

420

D

86

Text Solution

Verified by Experts

The correct Answer is:
A
Specific heat capacity of substance
`=0.86Jg^(-1)K^(-1)`
1 molal aqueous solution
`rArr` 1000 gm water has 58 gm solute
(total mass of solution = 1058 gm) If we take 10 gm solution it would have
water `=1000/1058xx10` gm
substance = `58/1058xx10gm`
Heat required = `1000/1058xx10xx4.2xx10` (for water)=396.975
`58/1058xx10xx0.86x10` (for substance) =4.715
= 396.975 + 4.715=401.69 , 401.7
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