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Sulphur exists in more than one solid fo...

Sulphur exists in more than one solid form. The stable form at room temperature is rhombic sulphur. But above room temperature the following reaction occurs.
`S ("rhombic") rarrS("monoclinic")`
If `DeltaH^(Theta) = 276.144J at 298 K` and `1atm` and `DeltaG^(Theta) = 75.312J`
a. Calculate `DeltaS^(Theta)` at `298K`.
b. Assume that `DeltaH^(Theta)` and `DeltaS^(Theta)` do not vary significantly with temperature, calculate `T_(eq)`, the temperature at which rhombic and monoclinic sulphur exist in equilibrium with each other.

Text Solution

Verified by Experts

(a) Since `DeltaG = DeltaH - TDeltaS`
`DeltaS = (DeltaH - DeltaG)/T`
`=(276.144 - 75.312)/298`
`=0.674 JK^(-1)`
(b) Under equilibrium condition, `DeltaG=0`
`DeltaH = T_(eq)DeltaS=0`
`T_(eq) = (DeltaH)/(Deltas) = (276.144)/0.674`
= 409.7 K
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