J.R. S. answered 11/05/21
Ph.D. University Professor with 10+ years Tutoring Experience
To find the identity of the group 1 metal, we need to find mols of gas and then find mass of gas. Then, knowing atomic mass of Br, we can deduce the identity of the metal.
PV = nRT
n = moles = PV/RT
n = (1.000 atm)(1.238 L) / (0.0821 Latm/Kmol)(777K)
n = 0.01941 moles of XBr gas
molar mass of XBr = 2.000 g / 0.01941 mols = 103.0 g/mol
Br = 79.9
XBr = 103.0 - 79.9 = 23.1
X = Na (sodium)