Question

In: Chemistry

A large SUV has a mass of 2400 kg . Calculate the mass of CO2 emitted...

A large SUV has a mass of 2400 kg .

Calculate the mass of CO2 emitted into the atmosphere upon accelerating the SUV from 0.0 to 65.0 mph . Assume that the required energy comes from the combustion of octane (ΔH∘f=−250.1 kJ) with 30% efficiency. (Hint: Use KE=12mv2 to calculate the kinetic energy required for the acceleration.)

Solutions

Expert Solution

Kinetic energy of vehicle = 1/2 mv2

velocity of vehicle in si unit = 29 m/s

K.E = 1/2 x 2400 x 292 = 1009200 J = 1009.2 kJ

Combustion of octane equation

2 C8H18+ 25 O2 ---> 16 CO2 +18 H2O

We have enthalpy of formation of octane

Enthalpy of above reaction = enthalpy of products - enthalpy of reactants = 16 x -393.5 +(18 x -285) - { -250.1 x2}

= 10925 kJ

It produces 16 mol carbon dioxide

To produce 1009.2 kJ at 30% efficiency we have to use

10925 kJ x n x 30/100 = 1009.2 kJ

n = no. Times 16 mol CO2 produced to achieve the required amount of energy

n = 0.308 x 16 = 4.93 mol

Mass of carbon dioxide = 4.93 x 44g/mol = 216.77g


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