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Q.

Given(I) C(diamond)+O2(g) → CO2(g); ∆H0=-92.0 kcal mol-1 (II) C(graphite) +O2(g) → CO2(g); ∆H0=-96.0 kcal mol-1At 298 K, 2.6 kg of carbon (diamond) is converted into graphite. Thus, entropy change is

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a

2.907 kcal  K-1

b

2.013 kcal  K-1

c

305.4 cal  K-1

d

-2.013 kcal  K-1

answer is A.

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Detailed Solution

Eq. (1) and Eq. (II) giveC(diamond) →  C(graphite)∆H0=-92--96=+4.0 kcal  mol-1 Moles of diamond = 2.6 × 1000 g12 g mol-1=216.6 mol ∆H0 (to convert 216.6 mol of diamond into graphite) =216.6 × 4.0  kcal = 866.4 kcal ∴   ∆S=∆H0T=866.4  kcal298 K = 2.907 kcal K-1
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