Calculate ΔS°(universe) for the decomposition of 1 mol of gaseous phosphine (PH3) to form white phosphorus...

Calculate ΔS°(universe) for the decomposition of 1 mol of gaseous phosphine (PH3) to form white phosphorus and gaseous hydrogen at 25 °C.

Solutions

Expert Solution

PH3 (g) ---------------> P (white ) + 3 /2 H2 (g)

ΔS° system = ΔS° products - ΔS° reactants

= ( 164.4 + 3/2 * 223.1 ) - 210.2

= 288.85 J / K

ΔH° = (0 + 3/2 * 0 ) - 5.4

= -5.4 kJ / mole

T = 273 + 25 = 298 K

ΔS°surr = - ΔH° / T

= 5.4 x 1000 / 298

= 18.12 J / K

ΔSo universe = ΔS° system + ΔS°surr

= 288.85 + 18.12

= 307 J / K

ΔS^o universe = 307 J / K

queen_honey_blossom answered 1 year ago

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