Question

One kilogram of gas at an initial pressure of 0.11 MN/m² and a temperature of 15⁰C.

It is compressed isothermally until the volume becomes 0.1 m³. Determine

a) the final pressure

b) the final temperature

c) the heat transfer

If the compression had been adiabatic, determine

d) the final pressure

e) the final temperature

f) the work transfer

For the gas, take c_p = 0.92 KJ/kg K c_v = 0.66 KJ/kg K

Answer 1

(a)

final pressure will be

p=vt

=$0.1\times 15$

=$1.5 Mn/m^2$

(b)

final temperature will be

t=p/v

=$0.11/0.1$

$=1.1\degree celcius$

(c)

heat transfer will be

$=15\times0.11\times0.1$

=0.165

(D)

for adiabetic it’s same but with negative sign

$=-1.5Mn/m^2$

(e)

final temperature

$=-1.1\degree C$

(f)

work transfer will be

$=-0.165$