The combustion of 1.0 g of gasoline releases 11 kcal of

Step 1 of 2

Given:

Mass of gasoline = 1.0 g.

Heat released = 11 kcal

Density of gasoline = 0.74 g/mL

a.  

Here, we are asked to calculate heat in megajoules, released when 1.0 gal of gasoline burns.

First, let’s find the volume of 1.0 gal gasoline in mL:

= 1.0 gal gasoline   

= 3785.41 mL

Now, let’s find the mass of gasoline in g:

        Mass = Density  volume

                  = 0.74 g/mL  3785.41 mL

                  = 2801.20 g.

Given, 1 g releases 11 kcal. Let’s find the heat released by 2800 g:

= 2801.20 g

=  30813.2 kcal

Now, let’s convert the heat in kcal to MJ:

        1 kcal = 0.004186 MJ

Therefore, heat in megajoules will be:

        = 30813.2 kcal

        = 128.98 MJ

Hence, the heat in megajoules, released when 1.0 gal of gasoline burns is 129 MJ.

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