The volume of hydrogen gas that evolved is calculated as follows by use of ideal gas equation
that is PV = nRT P=745 mm hg V= ? R(gas constant)= 62.36 L.mm hg/mol.k T= 20 + 273 = 293 k n=number of moles which is calculated as follows find the moles of Na used = 0.52/23=0.023 moles
write the reacting equation 2Na +2H2O =2NaOH +H2 by use of reacting ratio between Na : H2 which is 2:1 therefore the mole of H2 = 0.023/2 =0.0115 moles
by making the volume the subject of the formula v=nRT/P V= (0.0115 x 62.36 x 293) / 745 = 0.283 L