The overall reaction (CH3)2CO + X2 → CH2XCOCH3 + HX is thought to proceed by the following mechanism, in which HA represents any proton donating acid and X2 is a halogen molecule: (CH3),CO + HA (CH3),coH+ + A, (CH3),COH+ + A- CH=C(OH)CH2 + HA, CH2=C(OH)CH2 + x2 - CH2XC(OH)CH; + X, CH2XC(OH)CH + X-CH2XCOCH3 + HX. a. Use the steady-state approximation to find the rate expression. b. From the rate expression, predict the relative rate of bromination versus iodination. c. What is the rate limiting step if k2 >>k_1? (d) What is the rate limiting step if k-1 >>k2?