If you apply for a tourist visa for one month or less, you have two options:
1) now apply for a visa with your old passport first, and then change it with your old passport after you get the visa. Cut out the old passport and stick it on the new passport. The visa of the old passport will be used as usual.
2) Apply for a new passport now, and then apply for a visa with the new passport.
If you apply for a business visa for three months or more, you can only take the second option.
I hope I can help you.