Molar mass of the hydrocarbon (X) which on ozonolysis consumes one mole of $$\mathrm{O}_{3}$$ per mole of $$(\mathrm{X})$$ and gives one mole each of ethanal and propanone is _________ $$\mathrm{g}~ \mathrm{mol}^{-1}$$

(Molar mass of $$\mathrm{C}: 12 \mathrm{~g} \mathrm{~mol}^{-1}, \mathrm{H}: 1 \mathrm{~g} \mathrm{~mol}^{-1}$$ )

The vapour pressure vs. temperature curve for a solution solvent system is shown below.

The boiling point of the solvent is __________ $${ }^{\circ} \mathrm{C}$$.

The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is :

Let $$f(x)=\frac{\sin x+\cos x-\sqrt{2}}{\sin x-\cos x}, x \in[0, \pi]-\left\{\frac{\pi}{4}\right\}$$. Then $$f\left(\frac{7 \pi}{12}\right) f^{\prime \prime}\left(\frac{7 \pi}{12}\right)$$ is equal to