Question

In the following problem please answer question C

The temperature dependent *C _{p}* of carbon
dioxide is experimentally determined to be

a. Derive an expression for the amount of heat required to raise
the temperature CO_{2} from T_{1} to T_{2}
as a function of a, b, and c.

b. Calculate the heat required to raise the temperature of 1 kg
CO_{2} from 0 to 100 °C at constant pressure, given that
the empirical constants are a = 44.22 J/mol·K, b = 0.00879
J/mol·K^{2}, and c = −86,200 J·K/mol.

c. Compare the value from part b. with the result you would get
if you assumed that the constant pressure heat capacity was
constant, *C _{p}* = 40.0 J/mol·K.

Answer #1

A cylinder contains 0.200 mol of carbon dioxide (CO2) gas at a
temperature of 30.0 ∘C. The cylinder is provided with a
frictionless piston, which maintains a constant pressure of 1.00
atm on the gas. The cylinder is placed on a hot plate and a 920 J
of heat flows into the gas, thereby raising its temperature to 124
∘C. Assume that the CO2 may be treated as an ideal gas.
What is the change in internal energy of the...

Carbon dioxide is an important greenhouse gas. Calculate the
enthalpy change for a 66.5g sample of CO2 heated from 0.6 C to 50.0
C at constant pressure assuming (a) that Cp,m is not a f(T) and (b)
where Cp,m is a f(T). Cp,m(CO2) = 27.11 J/molK at 25 C and a =
44.22 J/mol K, b=0.00879 J/molK^2 and c=-8.62x10^5 K/mol. How does
this energy change compare to the average intermolecular force?

A cylinder contains carbon dioxide. Carbon dioxide temperature
in the cylinder increases from 300 K to 700 K under constant
pressure of 240 kPa. Initial volume of carbon dioxide is 0.07
m3. Determine the required heat in this process in unit
of kJ. Round the result to two decimal places.

Briefly define (one sentence each) these phrases:
1. adiabatic process
2.isothermal process
Calculate the heat required to raise the temperature of
1.450 mol of lead from 20 °C to 357 °C at constant pressure given
that for lead,
C
p.m /J K–1 mol–1 =
a + bT + c/T2
where a = 22.13, b=
11.72 ´ 10–3 K–1, c = 0.96 x
105 K2
and T is the absolute (kelvin) temperature.

1. The standard enthalpy of formation of phenol is
-165.0 kJ/mol. Calculate its standard enthalpy of combustion.
[Express your answer in units of kilojoules per mole,
kJ/mol]
C6H5OH + 7O2 --> 6 CO2 + 3H2O
ΔHc = 6ΔHf(CO2) + 3ΔHf(H2O) - ΔHf(C6H5OH) - 7ΔHf(O2)
2. Calculate the work done on a closed system consisting
of 50.0 grams of argon, assumed ideal, when it expands isothermally
and reversibly from a volume of 5.00 L to a volume of 10.00 L at...

Liquid carbon dioxide at a flow rate of 100 000 kg/hr is to be
heated from 0°C to 20°C in a 1-2 shell and tube heat exchanger.
Water is available at a flow rate of 113 000 kg/hr and a
temperature of 40°C. A 25-in. (635 mm)-ID 1-2 shell and tube
exchanger having 3/4-in., 10 BWG tubes laid out on a 1-in.
triangular pitch is available. The tubes are 2 m long and the
exchanger contains three baffles. Determine expected...

Carbon dioxide at 90 C and atmospheric pressure flows over a
square horizontal plate at 60 m/s. The side lengths are 60 cm, and
the plate is maintained at a constant uniform temperature of 10 C.
(a) What is the total heat transfer? (b) What is the boundary layer
thickness at the center of the plate?

1) The following information is given for
n-pentane at 1 atm:
= 36.20°C
(36.20°C)
= J/g
=
–129.70°C
(–129.70°C)
= J/g
Specific heat gas =
1.650 J/g °C
Specific heat liquid =
2.280 J/g °C
A 40.00 g sample of liquid
n-pentane is initially at
–27.30°C. If the sample is heated at constant
pressure ( = 1 atm), _______kJ of energy are needed to raise the
temperature of the sample to 53.90°C.
2) The following information is given for
magnesium at 1...

ΔH = CpΔT ΔS = Cp ln T2/T1 ΔG = ΔH − TΔS
1. Consider a protein that unfolds at a transition temperature
of 70.0ºC at a pressure of 1 bar, and the heat of unfolding (qu) is
+638 kJ mol-1.
a. Calculate ΔuH, ΔuS, ΔuG and for the transition from folded to
unfolded protein at 70.0ºC at 1 bar knowing that ΔCp = −8.37 kJ K-1
mol-1 and is independent of temperature.
b. Repeat the calculations from part (a)...

The following information is given for cobalt at 1 atm: boiling
point = 3.097E3°C Hvap(3.097E3°C) = 6.603E3 J/g melting point =
1.495E3°C Hfus(1.495E3°C) = 262.7 J/g specific heat solid = 0.4180
J/g ⋅ °C specific heat liquid = 0.6860 J/g ⋅ °C A 38.00 g sample of
solid cobalt is initially at 1.467E3°C. If the sample is heated at
constant pressure (P = 1 atm), __ kJ of heat are needed to raise
the temperature of the sample to 1.963E3°C.

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