1) I just wanted to know whether Women are allowed to go out with Na Mahram men just to visit some places ( having no wrong intentions ).

2) In the case if the women has gone just for the sake of site seeing and she eats food with the na mahram, will this food be Haram or Halal?

1) It’s not allowed just for the sake of going for site seeing. Unless if it’s part of your studies at Univeristy or work related. In that case, no problem but Islamic ethos must be upheld

2) Interaction with Na mahram is not allowed including sitting and eating together. unless under exceptional circumstances as explained above. The food is halal so long as it’s made from halal source.