(1) The Book of Purification
كتاب الطهارة
(9) Chapter: Dry Ablution (at-Tayammum)
(9) باب التيمم
Bulugh al-Maram 137 
Narrated Ibn `Abbas (RAA):
It is from the Sunnah of the Prophet (ﷺ) for the man to pray only one prayer with each Tayammum, and then perform Tayammum for the next prayer. [Reported by Ad-Daraqutni but with a very weak chain of narrators]
وَعَنِ ابْنِ عَبَّاسٍ رَضِيَ اَللَّهُ عَنْهُمَا قَالَ: { مِنْ اَلسُّنَّةِ أَنْ لَا يُصَلِّيَ اَلرَّجُلُ بِالتَّيَمُّمِ إِلَّا صَلَاةً وَاحِدَةً, ثُمَّ يَتَيَمَّمُ لِلصَّلَاةِ اَلْأُخْرَى } رَوَاهُ اَلدَّارَقُطْنِيُّ بِإِسْنَادٍ ضَعِيفٍ جِدًّ ا 1‏ .‏


‏1 ‏- ضعيف جدا.‏ رواه الدارقطني (185)‏.‏

Reference : Bulugh al-Maram 137
In-book reference : Book 1, Hadith 166
English translation : Book 1, Hadith 148