Question

Methane is governed by the truncated virial equation. Calculate the temperature variation if the fluid expands isostatically from 400 K and 7 bar to 1 bar

Answer #1

-Show that for the truncated virial equation, Z = 1 + BP/RT, the
fugacity is given by f = eZ-1 ⋅P. Further show that f ≈
Z⋅P when Z is near unity (make use of a series approximation).
-Show that for a van der Waals gas, with Z near unity, the second
virial coefficient is given by B = (b – a/RT).
-Use the derived relationship to calculate the fugacities and
fugacity coefficients for hydrogen and for carbon dioxide gases...

Calculate Z and V of a gas at 350 k and 15 bar using the
truncated virial equation with the following experimental values of
virial coefficients:
Z=PVRT=1+BV+CV2
B= -208 cm3 mol-1, C=4,378 cm6
mol-2

Calculate z and v of a gas at 350 k and 15 bar using the
truncated virial equation with the following experimental values of
virial coefficients:
z=PV/RT=1+B/V+C/V^2
B=-208 cm^3 mol -1, C=4378 cm^6 mol^-2

Calculate the second Virial coefficient (B2) of Methane at 300 K
from its van der Waals constants: a0.2283 Pa m^6 mol^-2 and b =
0.0428x 10 ^-3 m^3 mol^-1. Calculate the compressibility factor at
300 K and 1 bar.

CALCULATE THE FUGACITY COEFFICIENT OF TOLUENE AT 50 °C
& 25 KPA USING THE VIRIAL EQUATION OF STATE TRUNCATED AFTER THE
SECOND TERM. SUCH AN EQUATION OF STATE IS GIVEN BY THE FOLLOWING
EXPRESSION: Z=1+ (BP/RT), WHERE THE SECOND VIRIAL COEFFICIENT (B)
FOR TOLUENE IS -1,860 CM3/MOL.

12 moles of a gas is compressed isothermally and reversibly from
400 K , 1 bar to 1/2th of its original volume. Initial
volume of the gas was measured at 120 cm^3. Using the truncated
virial EOS, calculate the required work for the compression.

A 5 m3 tank farm gas storage tank contains methane. The initial
temperature and pressure are P = 1 bar, T = 18 0C. The PVT
properties of methane can be described by van der Waals equation of
state
For methane Pc = 45.8 atm and Tc =190.7 K. Calculate the T and P
following each of the successive steps.
(a) 1 m3 (at standard conditions) is withdrawn isothermally.
(b) The sun warms the tank to 40 0C.
(c) 1.2...

1 mole methane gas (NOT ideal gas) isothermally expands from
initial pressure of 5 bar to 1bar at 50oC. Estimate the ENTROPY
change (?S) for the gas using Lee/Kesler generalized correlation
tables

please answer all equistion
1. Find values of residual enthalpy for ethylene at 400 K and 25
bar using Peng-Robinson equation of state
2. Find values of residual Gibbs energy, enthalpy and entropy
for n-heptane at 500 K and 100 bar using Virial equation of
state
3. Estimate the values of Compressibility factor, enthalpy and
entropy for Benzene and cyclohexane if it compressed from 650 K and
60 bar to 500 K and 110 bar.

1. methane gas is being steadily compressed in an adiabatic
compressor from 300 K and 1.0 bar to 500 K and 7.5 bar. Assume
ideal gas behavior with a constant heat capacity of 5R. Calculate
the compressor efficiency.

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