Explanation:
(a) Formula to calculate the capacitance is as follows.
Now, putting the given values into the above formula as follows.
= 0.291
or, = ln (0.291)
= -1.23
C = 0.729 F
Hence, the value of capacitance is 0.729 F.
(b) Formula to calculate the constant of circuit is as follows.
T =
=
= 2.259 sec
Therefore, the time constant of the circuit is 2.259 sec.
Answer:
(a) Compression work at the final state with a pressure of 1(MPa) is: 44.32(KJ), (b) Compression work at the final state with a pressure of 500(KPa): 110.37(KJ) and (c) temperaure of the final state in part b: T=151.83(°C).
Explanation:
Remember that the substance is steam so it's water (H2O) and the initial conditions are and
from a saturated water table and the initial conditions we can determine that the state phase is superheated (see Table 1 attached) because the
from the table 1 we get:
. Now we have second conditions as:
so from the same table we can see the state still superheated and we get
, knowing that it's a isobaric process we can find the compression's work as:
so the compressor's work is: 44.32(KJ). (b) Then the piston reaches the stop and there are two processes in this stage, so Process 1 is isobaric and:
and the second process is isochoric:
,now
. Finally to get the temperarure at the final state in part (b) we get:
from table 2 (see attached) we compare
and
at the saturated water table and find the following:
, so we know that the final state phase is a satured mixture and we get the temperature at the final state as:
.
