An ideal diatomic gas at 80 k is slowly compressed adiabatically and reversibly to half its volume. what is its final temperatur

Question

1 year ago

15

e?

1 answer:

Yanka [14] · Answer 1 · 2024-04-09T22:26:14+03:00

An ideal diatomic gas at 80 k is slowly compressed adiabatically and reversibly to half its volume. The final temperature is 104.8k

<h3>Calculation of final temperature </h3>

The formula used for compression is:-

TV^(γ-1)=C

where;

T= temperature=80k

V=volume(given volume is half of its original volume i.e v/2)

γ=CP/CV= ( 7.R/2)/(5R/2)=7/5

C= constant

using the given values in the formula;

80 x V^[(7/5)-1]=T(final) (V/2)^[(7/5)-1]

80=T(final) x (V/V2)^(2/5)

80=T(final) x (1/2)^(2/5)

T(final)= 80 x (2)^2/5

T(final)= 80 x 1.31

final temperature =104.8k

Learn more about Temperature here:-

#SPJ4