Diluting sulfuric acid with water is highly exothermic:
H₂SO₄(l) → H₂SO₄(aq) + heat (b) Suppose you carry out the dilution in a calorimeter. The initial T is 25.0°C, and the specific heat capacity of the final solution is 3.50 J/g·K. What is the final T?

Respuesta :

The initial T is 25.0°C, and the specific heat capacity of the final solution is 3.50 J/g·K. The final T (temperature) is 51.2°C.

The standard enthalpy for H2SO4 (l) is -814 kJ/mole, whereas the standard enthalpy for H2SO4 (aq) is -909.3 kJ/mole.

Therefore, dHreaction = dHf (product) - dHf (reactant)

= -909.3 - (-814)

One mole of H2SO4 will be dissociated using the dHreaction, or q = -95.3 kJ of energy.

The formula, which may be used to calculate the heat change in calorimetry,

q = mass × specific heat capacity × temperature change —————- I

According to the information provided, H2SO4 has a density of 1.060 g/ml.

H2SO4 has a volume of 1 liter.

Therefore, density/volume = 1.060 g/ml / 1 103 ml = 1060 grams will be the mass of H2SO4.

Given that the starting point is 25.2°C or 273+25.2 = 298.2 K, let's assume the ending point is T2.

ΔT = T₂ -T₁ = T₂ - 298.2 K

Using the variables in the equation I we now obtain,

95.3 kJ = 1060 grams × 3.458 j/gK (T₂ - 298.2 K) (the specific heat capacity of the final solution is 3.458 J/gK)

(T₂ - 298.2 K) = 95300 J / 1060 × 3.458 = 26 K

T₂ = 298.2 K + 26 K

T2 is equal to 324.2 K, or 324.2 - 273 = 51.2 C.

Therefore, the final temperature(T) = 51.2 C.

To know more about specific heat capacity refer to:  https://brainly.com/question/16952828

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