A particular chemical reaction releases 36.4 kJ of heat per gram of reactant consumed. To calculate the mass of reactant required to produce 1220 J of heat, you can use the following mathematical setup: First, you need to convert the heat release from kJ to J to match the units of the desired heat output: \( 36.4\ \text{kJ/g} \times 1000\ \text{J/kJ} = 36400\ \text{J/g} \) Now, you can use the heat release per gram to find out how many grams are needed to produce 1220 J: Let \( x \) be the mass of the reactant in grams. \( x \times 36400\ \text{J/g} = 1220\ \text{J} \) To solve for \( x \): \( x = \frac{1220\ \text{J}}{36400\ \text{J/g}} \) Now, calculate the value of \( x \): \( x \approx 0.0335\ \text{g} \) Therefore, approximately 0.0335 grams of reactant are required to produce 1220 J of heat.

To find out how much mass of the reactant is required to produce 1220 J of heat, when 1 gram of the reactant releases 36.4 kJ of heat, we'll follow these steps:

1. Convert the heat release from kJ to J:

\( 36.4\ \text{kJ/g} \times 1000\ \text{J/kJ} = 36400\ \text{J/g} \)

2. Use the heat release per gram to calculate the mass needed for 1220 J:

Let \( x \) be the mass of the reactant in grams.

\( x \times 36400\ \text{J/g} = 1220\ \text{J} \)

3. Solve for \( x \):

\( x = \frac{1220\ \text{J}}{36400\ \text{J/g}} \)

4. Calculate the value of \( x \):

\( x \approx 0.0335\ \text{g} \)

The calculation gives us the mass of reactant required to produce 1220 J of heat, which is approximately 0.0335 grams.

Extra: The calculation we performed involves unit conversion and proportionality. Unit conversion is important because it allows us to express a quantity in different units of measurement while maintaining the same value. We started with the energy release in kilojoules per gram and converted it to joules per gram since the energy we wanted to produce was given in joules.

The second concept is proportionality, which is used in this context to determine how changes in the amount of reactant influence the amount of energy released. We know the energy released per gram of reactant; so if we want a specific amount of energy (1220 J in this case), we can set up a proportional relationship to find out how many grams of the reactant will produce that energy amount.

This kind of calculation is typical in chemistry when dealing with stoichiometry, which is the calculation of reactants and products in chemical reactions. Understanding unit conversion and proportionality can significantly help students solve a wide range of problems in chemistry and physics.