How much mass has to be converted into energy to produce electric power of 500 MW for one hour?

Question

How much mass has to be converted into energy to produce electric power of 500 MW for one hour? (A) 2×10-5 kg (B) 1×10-5 kg (C) 3 ×10-5 kg (D) 4 ×10-5 kg

Tardigrade Admin · Accepted Answer

Here, P = 500 MW =5× 108 W,t=1 h=3600 s Energy produced, E=P× t=5×108×3600=18×1011 J As E=mc2 ∴ m=(E/c2) =(18×1011/(3×108)2) =(18×1011/9×1016) =2×10-5 kg

Q. How much mass has to be converted into energy to produce electric power of $500 M W$ for one hour?

$2 \times 1 0^{- 5} k g$

$1 \times 1 0^{- 5} k g$

$3 \times 1 0^{- 5} k g$

$4 \times 1 0^{- 5} k g$

Q. How much mass has to be converted into energy to produce electric power of 500MW for one hour?

2×10−5kg

1×10−5kg

3×10−5kg

4×10−5kg

Here, P=500MW =5×108W,t=1h=3600s Energy produced, E=P×t=5×108×3600=18×1011J As E=mc2 ∴m=c2E​ =(3×108)218×1011​ =9×101618×1011​ =2×10−5kg

Q. How much mass has to be converted into energy to produce electric power of $500 M W$ for one hour?

$2 \times 1 0^{- 5} k g$

$1 \times 1 0^{- 5} k g$

$3 \times 1 0^{- 5} k g$

$4 \times 1 0^{- 5} k g$