The reaction is: \[ \text{CH}_3-\text{C}\equiv\text{CH}-\text{CH}_3 + \text{O}_3 \to \text{CH}_3\text{CHO} + \text{CH}_3\text{COCH}_3 \]
The hydrocarbon (X) is pent-2-yne (C$_5$H$_8$). \item Its molecular mass is calculated as: \[ 5 \times 12 + 8 \times 1 = 70 \, \text{g mol}^{-1} \]
At STP \(x\) g of a metal hydrogen carbonate (MHCO$_3$) (molar mass \(84 \, {g/mol}\)) on heating gives CO$_2$, which can completely react with \(0.02 \, {moles}\) of MOH (molar mass \(40 \, {g/mol}\)) to give MHCO$_3$. The value of \(x\) is:
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is: