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The combustion of 1.0 g of sucrose (C12H22O11) in a bomb calorimeter causes the temperature to rise from 25.0°C to 28.5°C. The heat of combustion of sucrose is (heat capacity of the calorimeter system is 4.90 kJ K-1
  • a)
    -5.86 x 103 kJ mol-1
  • b)
    +5.86 x 103 kJ mol-1
  • c)
    -17.15 kJmol-1
  • d)
    +17.15 kJ mol-1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The combustion of 1.0 g of sucrose (C12H22O11) in a bomb calorimeter c...
Given information:
- Mass of sucrose = 1.0 g
- Temperature rise = 28.5°C - 25.0°C = 3.5°C
- Heat capacity of the calorimeter system = 4.90 kJ K^-1

To determine the heat of combustion of sucrose, we can use the formula:

q = -CΔT

where q is the heat released, C is the heat capacity of the calorimeter system, and ΔT is the temperature change.

Calculations:
- Heat released, q = -CΔT = -(4.90 kJ K^-1)(3.5°C) = -17.15 kJ
- Moles of sucrose burned = 1.0 g / 342.3 g mol^-1 = 0.00292 mol (using the molar mass of sucrose)
- Heat of combustion of sucrose = q / moles of sucrose burned = (-17.15 kJ) / (0.00292 mol) = -5.86 x 10^3 kJ mol^-1 (since the heat released is negative, the heat of combustion is positive)

Therefore, the correct answer is option A, -5.86 x 10^3 kJ mol^-1.
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The combustion of 1.0 g of sucrose (C12H22O11) in a bomb calorimeter causes the temperature to rise from 25.0°C to 28.5°C. The heat of combustion of sucrose is (heat capacity of the calorimeter system is 4.90 kJ K-1a)-5.86 x 103 kJ mol-1b)+5.86 x 103 kJ mol-1c)-17.15 kJmol-1d)+17.15 kJ mol-1Correct answer is option 'A'. Can you explain this answer?
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