Salaah time expiring while one is performing Salaah

Q: It read if one one makes a niyyah ''to pray the fard of the current time'' and the time ends during the performance of salaah, and one does not know this then the salaah is not sahih. But when one knows the time ended during performance then the salaah is sahih. True? But if one had make niyyah ''to pray the fard of Dhuhr of today'' then salaah is sahih if during performance another prayer time enters. True?

Sahibut Tarteeb

Q: If someone misses for example Fajr and he does not make it up until 11 salaats are passed by i.e. he makes it up two days later after Dhuhr.

How much salaats this person has to make up (and is the order waived or not ?) according to the view of Imaam Muhammad and Abu Yusuf? And what according to Abu Hanifa. And what is the fatwa upon ?

I read that according to Abu Hanifa if one does misses for example Fajr but does not makes it up and prays Dhuhr, then the Dhuhr becomes Mawquf (Muwaqqat) Fasad and if he continues praying upto the next days Dhuhr and thereafter makes qada of Fajr then all the salaahs will become Sahih. And if he makes it up before next days Dhuhr all the salaats will become Fasad.

And according to Imaam Muhammad and Abu Yusuf, only the salaats after the 6th one will become Sahih. The ones before will according to Imaam Muhammad be complete Fasad, and according to Abu Yusuf they will become nafila. It's said in a narration Abu Yusuf is with Imaam Muhammad. Is this all correct ?

The Fasad according to Abu Hanifa if one makes it up before next days Dhuhr (as in the example in the initial post) is this complete Fasad or does it turn into nafila?

Paying for the missed Salaah of the deceased

Q: My mum passed away a month ago and someone told me that we need to pay for any Salaah that she might have missed.  She was very regular with her Salaah, however, in the last few weeks before she passed away she became very ill and wasn’t able to perform her Salaah.  I’ve been told that we need to pay R10.00 for every Salaah missed.  Please would you advise whether this is correct and also how should this be paid, i.e. is it Lillah, Sadaka, etc. and which organization would be the best to pay it to or can we give it to someone who is poor.