Sam Curran opened CSK's innings during the match and played a knock of 31 runs from 21 deliveries.
Priyam played an unbeaten knock of 51 runs off just 26 balls as SRH set a respectable target of 165 runs for the MS Dhoni-led side.
"Chennai ke batsman simply not getting going. Glucose chadwaake aana padega next match se batting karne," Sehwag tweeted on CSK's abject surrender to Delhi Capitals.
Samson was awarded Man of the Match for his knock which helped Rajasthan Royals reach 216/7 in the allotted twenty overs.
CSK had defeated Mumbai Indians by five wickets in the IPL opener on Saturday.
Faf du Plessis and Dhoni guided CSK to a five-wicket victory over Mumbai Indians in Abu Dhabi.
Mumbai Indians have won the title on four occasions -- 2013, 2015, 2017 and 2019 -- the side would now be looking to make it two consecutive titles in a row.
The side will be without the services of Suresh Raina and Harbhajan Singh this year as both players opted out of the tournament due to personal reasons.
The opening match between the finalists of the 2019 edition will be played in Sheikh Zayed Stadium in Abu Dhabi.
The teams are strictly under the bio-bubble and this is the reason why there will be only one doubleheader that will be played in the week.