Question #44726

An octahedral coordination complex has the empirical formula $\ce{CoCl3 \cdot 5NH3 \cdot H2O}$. It exists in two isomeric forms, $A$ and $B$. The osmotic pressure of a $0.02 \text{ M}$ aqueous solution of $A$ at $300 \text{ K}$ is $1.476 \text{ atm}$, while the osmotic pressure of a $0.02 \text{ M}$ aqueous solution of $B$ at the same temperature is $1.968 \text{ atm}$. (Assume ideal behavior and complete ionization of the complexes, $R = 0.082 \text{ L atm K}^{-1} \text{mol}^{-1}$).

Let $n_A$ and $n_B$ be the number of moles of $\ce{AgCl}$ precipitated per mole of $A$ and $B$ respectively, when their aqueous solutions are treated with excess $\ce{AgNO3(aq)}$. Let $\Delta m_A$ and $\Delta m_B$ be the mass loss (in grams) when $1.0 \text{ mole}$ of solid $A$ and $1.0 \text{ mole}$ of solid $B$ are heated to constant weight over concentrated $\ce{H2SO4}$.

Which of the following options correctly represents the values of the products $(n_A \times \Delta m_A)$ and $(n_B \times \Delta m_B)$ respectively?