Sayyiduna Ibn Abbas (may Allah be pleased with them both) said: It is from the Sunnah that a man should pray only one prayer with one tayammum, and then perform a new tayammum for the next prayer. (b) Ali said: Al-Hasan bin Umarah is da'if (weak). (c) I say: Abu Yahya al-Himmani also narrated it from al-Hasan bin Umarah.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الطهارة / 1057