the enthalpy of combustion of gasoline is about 45 kj/g. the amount of energy needed to heat 1 g of water from 20 °c to 100 °c is 80 °c x 4.18/g•°c. the enthalpy of vaporization of water is 2540 j/g. what mass of water at 20 °c can 1 g of gasoline heat and boil?

Respuesta :

The mass of water that can be boiled by 1 g of gasoline by raising its temperature from 20 °c to 100 °c is  17.6 g.

Now, we know that energy can not be created nor destroyed but it can be converted from one form to another.

The heat produced by the gasoline is equal to the heat gained by water. Mathematically;

1g ×  45 × 10^3 = [1 g × 4.18  × (100 - 20) + 2540m]

45 × 10^3 = 334.4 + 2540m

45 × 10^3 - 334.4 =  2540m

m =  45 × 10^3 - 334.4 /2540

m = 17.6 g

The mass of water that can be boiled by 1 g of gasoline by raising its temperature from 20 °c to 100 °c is 17.6 g.

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