The question requires identifying which salt among \(NaBr\), \(NaNO_3\), \(KI\), and \(CaF_2\) does not release colored vapors when heated with concentrated \(H_2SO_4\). Colored vapors typically result from the presence of halogens like bromine or iodine.
Analyzing each:
Thus, both \(CaF_2\) and \(NaNO_3\) do not form colored vapors significantly, but only one fits into the provided mass range.
Let's calculate the molar masses:
The computed molar mass of \(CaF_2\) is \(78\ g/mol\), perfectly fitting the range \(78,78\). Therefore, the molar mass of the salt that does not evolve colored vapors is identified clearly.
The solution confirms that the molar mass of \(CaF_2\) is \(78\ g/mol\).
CaF$_2$ does not evolve any gas with concentrated H$_2$SO$_4$.
\[ \text{NaBr} \rightarrow \text{evolve Br}_2 \]
\[ \text{NaNO}_3 \rightarrow \text{evolve NO}_2 \]
\[ \text{KI} \rightarrow \text{evolve I}_2 \]


Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.