Question

Volume of $H_2$ produced per minute in the above reactor is :

• A. 23.5 L
• B. 71.8 L
• C. 35.2 L
• D. 47.3 L

Answer 1

The correct option is D 47.3 L

$100eV=1.602\times {10}^{-17}W$.
They yield 1.7 molecules of hydrogen or $\frac{1.7}{6.023\times {10}^{23}}=2.82\times {10}^{-24}$ moles of hydrogen
The capacity of nuclear power reactor is 200 kW or 200000 Watt.
Thus, in 1 second, the number of moles of hydrogen yielded will be $\frac{2.82\times {10}^{-24}}{1.602\times {10}^{-17}watts}\times 200000watts=0.035moles/s$
In one minute, the number of moles of hydrogen produced will be $60\times 0.035=2.11mol$
The volume occupied by $H_2$ at STP will be $2.11\times 22.4=47.3L$
Hence, the volume of $H_2$ produced per minute in the above reactor is 47.3 L