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Given
I. C (diamond) + O2(g) → CO2(g) ; ΔH° = - 91.0 kcdl mol-1
II. C(graphite) + O2(g) → CO2(g) ; ΔH° = - 94.0 kcal mol-1
Q. At 298 K, 2.4 kg of carbon (diamond) is converted into graphite form. Thus, entropy change is
  • a)
    10.07 cal K-1
  • b)
    2.013 kcal K-1
  • c)
    305.4 cal K-1
  • d)
    - 2.013 kcal K-1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
GivenI. C (diamond) + O2(g) → CO2(g) ; ΔH° = - 91.0 kc...
The reaction is 
C(diamond)     →     C(graphite)      ∆H = (94-91) = 3 kcal mol-1
∆S = ∆H/T
∆H = (94-91)×2.4×103/12   
= 600 kcal
∆S = 600/298 = 2.013 kcal K-1
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Most Upvoted Answer
GivenI. C (diamond) + O2(g) → CO2(g) ; ΔH° = - 91.0 kc...
Entropy change can be calculated using the equation:

ΔS = ΔH / T

where:
ΔS is the entropy change
ΔH is the enthalpy change
T is the temperature in Kelvin

Given the enthalpy changes for the conversion of carbon (diamond) to carbon (graphite) at 298 K, we can calculate the entropy change.

Step 1: Convert the mass of carbon (diamond) to moles.
Molar mass of carbon (diamond) = 12.01 g/mol
Mass of carbon (diamond) = 2.4 kg = 2400 g
Number of moles of carbon (diamond) = mass / molar mass = 2400 g / 12.01 g/mol = 199.83 mol

Step 2: Calculate the enthalpy change.
ΔH = - 94.0 kcal/mol - (- 91.0 kcal/mol) = -3.0 kcal/mol

Step 3: Convert the enthalpy change to calories.
1 kcal = 1000 cal
-3.0 kcal/mol = -3000 cal/mol

Step 4: Calculate the entropy change.
ΔS = ΔH / T = -3000 cal/mol / 298 K = -10.07 cal/(mol·K)

Step 5: Convert the units to kcal/(mol·K).
1 kcal = 1000 cal
-10.07 cal/(mol·K) = -0.01007 kcal/(mol·K)

Therefore, the entropy change for the conversion of 2.4 kg of carbon (diamond) to carbon (graphite) at 298 K is -0.01007 kcal/(mol·K). Since the question asks for the value in kcal K-1, we can convert the units:
-0.01007 kcal/(mol·K) = -2.013 kcal K-1

Hence, the correct answer is option 'B' (-2.013 kcal K-1).
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GivenI. C (diamond) + O2(g) → CO2(g) ; ΔH° = - 91.0 kc...
A
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GivenI. C (diamond) + O2(g) → CO2(g) ; ΔH° = - 91.0 kcdl mol-1II. C(graphite) + O2(g) → CO2(g) ; ΔH° = - 94.0 kcal mol-1Q.At 298 K, 2.4 kg of carbon (diamond) is converted into graphite form. Thus, entropy change isa)10.07 cal K-1b)2.013 kcal K-1c)305.4 cal K-1d)- 2.013 kcal K-1Correct answer is option 'B'. Can you explain this answer?
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