Question

Give a list of English vowel phonemes, both pure vowels and diphthongs, according to British Received Pronunciation. Write the phonetic symbol for each vowel and give an example of a word in which it occurs.

Answer 1

Pure vowels also called as monophthong vowels express a single vowel phoneme whereas, diphthongs express combined vowel phonemes.
The English vowels phonemes (pure vowels and diphthongs) are as follows.

An example of each has also been given alongside it. 
1)   i:      meal, see, feel
2)   ɪ       wit, sit, little
3)   e      desk, set, bet
4)   æ     cancel, cash, bad
5)   ɑ:     heart, part, father
6)   ɒ      sorry, what, cost
 7)  ɔ:      port, broad, all
 8)  ʊ       good, could, wood
 9)  u:      you, zoo, rude
10) ʌ       son, come, flood 
11)  ɜ:     burn, learn, word
12)  ə      alone, nation, butter 
13) ɪə      hear, clear, deer, disappear
14) eə     there, chair, air, care, rare stair
15) ʊə     cure, pure, tour
16) eɪ      face, grace, case
17) ɔɪ      voice, employ, oil, boy, joy
18) aɪ      my,eye, high, pie
19) əʊ     no, go, slow, sow
20) aʊ     mouth, count,bow, found