Questions: A certain chemical reaction releases 32.9 kJ / g of heat for each gram of reactant consumed. How can you calculate the heat produced by the consumption of 2.4 kg of reactant? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. heat =

A certain chemical reaction releases 32.9 kJ / g of heat for each gram of reactant consumed. How can you calculate the heat produced by the consumption of 2.4 kg of reactant? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. heat =
Transcript text: A certain chemical reaction releases $32.9 \mathrm{~kJ} / \mathrm{g}$ of heat for each gram of reactant consumed. How can you calculate the heat produced by the consumption of 2.4 kg of reactant? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. heat $=$ $\square$
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Solution

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Solution Steps

Step 1: Identify the given values

We are given:

  • The heat released per gram of reactant: \( 32.9 \, \mathrm{kJ/g} \)
  • The mass of the reactant consumed: \( 2.4 \, \mathrm{kg} \)
Step 2: Convert the mass of the reactant to grams

Since the heat released is given per gram, we need to convert the mass from kilograms to grams: \[ 2.4 \, \mathrm{kg} = 2.4 \times 10^3 \, \mathrm{g} \]

Step 3: Set up the expression to calculate the total heat produced

The total heat produced can be calculated by multiplying the heat released per gram by the total mass in grams: \[ \text{heat} = 32.9 \, \mathrm{kJ/g} \times 2.4 \times 10^3 \, \mathrm{g} \]

Final Answer

\[ \boxed{\text{heat} = 32.9 \, \mathrm{kJ/g} \times 2.4 \times 10^3 \, \mathrm{g}} \]

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