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Standard entropies of X(2), Y(2) and XY(...

Standard entropies of `X_(2), Y_(2)` and `XY_(3)` are 60, 40 and `50 JK^(-1)` respectively
`(1)/(2) X_(2) + (3)/(2) Y, Delta H = -30 kJ` to be at equilibrium, the temperature should be :

A

1250 K

B

500 K

C

750 K

D

1000 K

Text Solution

Verified by Experts

The correct Answer is:
B
`(1)/(2) X_(2) + (3)/(2) Y_(2) hArr XY_(3)`
`Delta S^(@) = Sum S_(P)^(@) - Sum S_(R)^(@)`
= 50 - (30 + 60)
`Delta S^(@) = - 40 JK^(-1) mol^(-1)`
`Delta G = Delta H - T Delta S`,
`0 = Delta H - T Delta S`
`Delta H = - 30 xx 10^(3) J mol^(-1)`
`T = (Delta H^(@))/(Delta S^(@))`
`= (-30 xx 10^(3) J mol^(-1))/(-40 JK^(-1) mol^(-1))`
= 750 K
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