Identify the products R and S in the reaction | vedclass

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(A) Step $1$: Reaction of tert-butyl alcohol with $Na$ gives sodium tert-butoxide $(P)$:
$(CH_3)_3 COH Na \rightarrow (CH_3)_3 CONa \frac{1}{2} H_2$

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$(CH_3)_3 CI, CH_3 OH$

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(A) Step $1$: Reaction of tert-butyl alcohol with $Na$ gives sodium tert-butoxide $(P)$:
$(CH_3)_3 COH Na \rightarrow (CH_3)_3 CONa \frac{1}{2} H_2$
Step $2$: Reaction of $P$ with methyl bromide $(CH_3 Br)$ via $S_N2$ mechanism gives tert-butyl methyl ether $(Q)$:
$(CH_3)_3 CONa CH_3 Br \rightarrow (CH_3)_3 COCH_3 NaBr$
Step $3$: Cleavage of ether $Q$ with $HI$ at high temperature $(\Delta)$:
Since the ether contains a tertiary alkyl group,the reaction proceeds via an $S_N1$ mechanism.
The protonated ether undergoes cleavage to form a stable tertiary carbocation $(CH_3)_3 C $,which then reacts with $I^-$ to form tert-butyl iodide $(R = (CH_3)_3 CI)$ and methanol $(S = CH_3 OH)$.

Identify the products $R$ and $S$ in the reaction sequence given:
$(CH_3)_3 COH$ $\xrightarrow{Na} P$ $\xrightarrow{CH_3 Br} Q$ $\xrightarrow[\Delta]{HI} R + S$

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Identify the products $R$ and $S$ in the reaction sequence given: $(CH_3)_3 COH$ $\xrightarrow{Na} P$ $\xrightarrow{CH_3 Br} Q$ $\xrightarrow[\Delta]{HI} R + S$