Consider the following fusion reaction: 1 H 2+ 1 H 2 arrow 2 He 4. If 20 MeV of energy is released per fusion reaction and mass of 1H 2 consumed per day is 0.1 g, then what is the power of the reactor (in MW)? (Give answer in integer value)

Question

Consider the following fusion reaction: 1 H 2+ 1 H 2 arrow 2 He 4. If 20 MeV of energy is released per fusion reaction and mass of 1H 2 consumed per day is 0.1 g, then what is the power of the reactor (in MW)? (Give answer in integer value) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Let P be the power. Energy produced =P × 24 × 36 × 100 Energy released per fusion reaction =20 MeV =32 × 10-13 J Energy released per 1 H 2 atom =32 × 10-13 J Number of 1 H 2 atoms used is N=(P × 24 × 36 × 100/32 × 10-13) Mass of 6 × 1023 atoms =2 g (2/6 × 1023) × (P × 24 × 3600/32 × 10-13) =0.1 g P=1 MW

Q. Consider the following fusion reaction: 1​H2+1​H2→ 2​He4. If 20MeV of energy is released per fusion reaction and mass of 1​H2 consumed per day is 0.1g, then what is the power of the reactor (in MW)? (Give answer in integer value)

Let P be the power. Energy produced =P×24×36×100 Energy released per fusion reaction =20MeV=32×10−13J Energy released per 1​H2 atom =32×10−13J Number of 1​H2 atoms used is N=32×10−13P×24×36×100​ Mass of 6×1023 atoms =2g 6×10232​×32×10−13P×24×3600​ =0.1g P=1MW

Q. Consider the following fusion reaction: $_{1} H^{2} +_{1} H^{2} \to$ $_{2} H e^{4}$ . If $20 M e V$ of energy is released per fusion reaction and mass of $_{1} H^{2}$ consumed per day is $0.1 g$ , then what is the power of the reactor (in $M W$ )? (Give answer in integer value)