Question

A reciprocating compressor takes a compresses it to 5 bar. Assuming that the compression is reversible and has an index, k, of 1.3, find the final temperature. charge of air at 1 bar & 20°C and a) T2= 1093 K b) T2=151.8 K c) T2=983.6 K d) T2 =710.9 K e) T2= 424.8 K

Answer 1

final temperature is 424.8 K

so correct option is e 424.8 K

Step-by-step explanation:

given data

pressure p1 = 1 bar

pressure p2 = 5 bar

index k = 1.3

temperature t1 = 20°C = 293 k

to find out

final temperature t2

solution

we have given compression is reversible and has an index k

so we can say temperature is

`(t2)/(t1)= [(p2)/(p1)]^{(k-1)/(k) }` ...........1

put here all these value and we get t2

`(t2)/(293)= [(5)/(1)]^{(1.3-1)/(1.3) }`

t2 = 424.8

final temperature is 424.8 K

so correct option is e