Suppose your car uses 310 gallons of gasoline per year, with each gallon produci

Question

Suppose your car uses 310 gallons of gasoline per year, with each gallon producing 1.4*10^8 J of energy.

A. If you had a fusion powered carusing the reaction 2H+3H yields 1n+4He, what mass of 2H would be required instead of that 310 gal of gasoline?

B. What mass of 3H would be required instead of that 310 gal of gasoline?

Please show work. Thank you!

Explanation / Answer

fusion reaction 2H + 3H-->4He +1n releases 17.6 MeV of energy ; mass of 2H is 2.01410 u ; mass of 3H=3.01589 u ; 1u = = 1.66053892e-27 kilograms; 1 MeV = 1.61 x 10^-13 J; now 310 gallons of gasoline produce 1.4*10^8 J of energy. 2.01410*1.66e-27 kg 2H produces 17.6*1.61 x 10^-13 J of energy. 1 kg of 2H produces 8.475*10^14 J of energy. hence mass of 2H required to produce 1.4*10^8 J of energy.is 1.65 *10^(-7) kg. for 2nd part proceding in the same way; 3.01589*1.66e-27 kg 3H produces 17.6*1.61 x 10^-13 J of energy hence mass of 3H required to produce 1.4*10^8 J of energy.is 2.47 *10^(-7) kg

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