Question

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5.000 g of Compound X with molecular formula C₂H, are burned in a constant-pressure calorimeter containing 50.00 kg of water at 25 °C. The temperature of
the water is observed to rise by 1.088 °C. (You may assume all the heat released by the reaction is absorbed by the water, and none by the calorimeter itself.)
Calculate the standard heat of formation of Compound X at 25 °C.
Be sure your answer has a unit symbol, if necessary, and round it to the correct number of significant digits.

Answer 1

To calculate the standard heat of formation of Compound X, we need to use the heat transferred equation: q = m * Cp * delta T. Given the mass, specific heat capacity of water, and temperature change, we can calculate the heat transferred. The standard heat of formation of Compound X is approximately 228.752 kJ.

Step-by-step explanation:

To calculate the standard heat of formation of Compound X, we need to use the heat transferred equation:

q = m * Cp * delta T

Where:

q is the heat transferred

m is the mass of water

Cp is the specific heat capacity of water

delta T is the temperature change

Given:

m = 50.00 kg

Cp = 4.18 J/g °C (specific heat capacity of water)

delta T = 1.088 °C

First, convert the mass of water to grams:

m = 50.00 kg * 1000 g/kg = 50000 g

Then, substitute the values into the equation:

q = 50000 g * 4.18 J/g °C * 1.088 °C = 228752 J

To convert the heat into kJ, divide by 1000:

q = 228752 J / 1000 = 228.752 kJ

The standard heat of formation of Compound X at 25 °C is approximately 228.752 kJ.