ANSWER
He is sinful and will be punished for not being equal with both wives and for obeying his first wife like this as it doesn’t matter whether he has children or not as this won’t exempt him from accountability and will come on the day of judgement with his side tilted for being unfair.
https://islamqa.info/en/answers/10091/how-can-he-treat-his-two-wives-fairly
https://islamqa.info/en/answers/102446/obligation-of-treating-co-wives-fairly-and-some-of-the-rules-on-travel-for-men-with-more-than-one-wife