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I think Camus tries hard to convey the fact that Mersault shows little emotion. He is disatached from the world. Even his mother's death elicits his existential indifference. I don’t recall any time in Ch.1 that he does show emotion.
What strikes me is that there are multiple times in chapter one that the only glimmers of emotion, from Mersault, are when he feels that he may be violating social propriety. The first time is when he's talking about asking for the time off of work and the second time is when he has an instinct to apologize to the warden of the old folk's home.