The % increase in oxygen in steam volatile product with respect to phenol is ____ \(10^{-1}\%\).
Styrene undergoes the following sequence of reactions Molar mass of product (P) is:
Benzene reacts with propyl chloride in presence of \(AlCl_3\) to give product \(X\). Mark correct statement(s) for the given reaction. 
(a) One of the intermediate is formed due to rearrangement.
(b) Major product is n-propylbenzene.
(c) Polysubstitution of substrate is also possible.
(d) Electron releasing group decreases rate of reaction.
Hydrocarbon (P) on reductive ozonolysis gives products which give positive iodoform test and on acidification produces the compound shown. Identify the structure of (P). 
Styrene undergoes the following sequence of reactions Molar mass of product (P) is:
Let the lines $L_1 : \vec r = \hat i + 2\hat j + 3\hat k + \lambda(2\hat i + 3\hat j + 4\hat k)$, $\lambda \in \mathbb{R}$ and $L_2 : \vec r = (4\hat i + \hat j) + \mu(5\hat i + + 2\hat j + \hat k)$, $\mu \in \mathbb{R}$ intersect at the point $R$. Let $P$ and $Q$ be the points lying on lines $L_1$ and $L_2$, respectively, such that $|PR|=\sqrt{29}$ and $|PQ|=\sqrt{\frac{47}{3}}$. If the point $P$ lies in the first octant, then $27(QR)^2$ is equal to}