One of the proposed methods of storing gaseous II2 fuel in the future is to pack

Question

One of the proposed methods of storing gaseous II2 fuel in the future is to pack it under high pressure into 10 cs of a metal s crystal structure. Palladium, which adopts a cubic closest packed structure, can absorb more H_2 than any other element. Although the exact Pd-H interaction is unclear, it is estimated that the density ol absorbed hydrogen approaches that of liquid hydrogen, 70.8 g/L. What volume (in Liters) of gaseous U2 measured at STP can be packed into the space between palladium atoms in 1.00 din^3 of palladium? Alt work must be shown.

Explanation / Answer

1dm3= 1 L

Volume(spaces of palladium metal) = 1 L

Density of absorbed hydrogen = 70.8 g/L

d = mass of hydrogen /Volume

Mass =70.8*1=70.8 g of hydrogen absorbed.

At STP, T=273 K and P=1atm and mass(hydrogen) = 70.8g

70.8g/2g = 35.4 moles of H2

PV = nRT

V = nRT / P

V = 35.4*0.0826*273 /1 = 795.26 L

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