Question
In: Chemistry
An ideal gas has a constant volume specific heat cv as a function of temperature. Find...
An ideal gas has a constant volume specific heat cv as a
function of temperature. Find the
change in internal energy and enthalpy if the gas is heated from a
temperature of 300K to 600K.
cv(T) = 716.66 + 0.4T + 0.000667T2 J/kg.K
Also, sketch the constant pressure specific heat as a function
of temperature and mention the
point T = 400K on the cp – T diagram. Assume that the gas constant
of the given ideal gas is
286.9 J/kg.K.
Solutions
queen_honey_blossom answered 3 years agoRelated Solutions
A specific type of ideal gas has a specific heat capacity at constant pressure (cp=cv+R) that...
A specific type of ideal gas has a specific heat capacity at
constant pressure (cp=cv+R) that is a
function of temperature T, such that cp=0.48T+885, where
cp has units of J/kg/K and T has units of K. The gas,
which is initially at T1 = 314 K and P1 = 1x105 Pa,
undergoes a reversible adiabatic process such that its final
temperature is T2 = 772 K. Calculate the pressure of the gas (in
Pa) in this final state. Assume...
A 2.00 mol sample of an ideal gas with a molar specific heat of CV =...
A 2.00 mol sample of an ideal gas with a molar specific heat of
CV =
5
2
R
always starts at pressure 1.00 ✕
105
Pa and temperature 350 K. For each of the following
processes, determine the final pressure (Pf, in kPa), the final volume
(Vf, in
L), the final temperature (Tf, in K), the change in
internal energy of the gas (ΔEint,
in J), the energy added to the gas by heat (Q, in J), and
the...
A 2.00 mol sample of an ideal gas with a molar specific heat of CV =...
A 2.00 mol sample of an ideal gas with a molar specific heat of
CV = (5/2)R always
starts at pressure 2.00 ✕ 105 Pa and temperature 300 K.
For each of the following processes, determine the final pressure
(Pf, in kPa), the final volume
(Vf, in L), the final temperature
(Tf, in K), the change in internal
energy of the gas (ΔEint, in J), the energy
added to the gas by heat (Q, in J), and the work done...
A 1.50 mol sample of an ideal gas with a molar specific heat of CV =...
A 1.50 mol sample of an ideal gas with a molar specific heat of
CV = 5/2 R always
starts at pressure 2.00 ✕ 105 Pa and temperature 250 K.
For each of the following processes, determine the final pressure
(Pf, in kPa), the final volume
(Vf, in L), the final temperature
(Tf, in K), the change in internal
energy of the gas (ΔEint, in J), the energy
added to the gas by heat (Q, in J), and the work...
A 2.50 mol sample of an ideal gas with a molar specific heat of CV =...
A 2.50 mol sample of an ideal gas with a molar specific heat of
CV = 5/2 R always starts at pressure 1.50 • 10^5 Pa and temperature
300 K. For each of the following processes, determine the final
pressure (Pf, in kPa), the final volume (Vf, in L), the final
temperature (Tf, in K), the change in internal energy of the gas
(ΔEint, in J), the energy added to the gas by heat (Q, in J), and
the work...
A homogeneous three-dimensional solid has a heat capacity at constant volume CV that depends on temperature...
A homogeneous three-dimensional solid has a heat capacity at
constant volume CV that depends on temperature T. Neglecting
differences in the transverse and longitudinal waves in the solid,
there are 3N vibrational modes, where N is the number of atoms in
the solid. Here, the solid has N = 3.01 x 1023 atoms which occupy a
total volume V = 18.0 cm3 . There are two transverse shear waves
and one longitudinal wave; all waves have the same speed of...
4.1) A perfect gas has a constant volume molar heat capacity of CV ,m 1.5...
4.1) A perfect gas has a constant volume molar heat capacity of
CV ,m 1.5 R and a constant pressuremolarheatcapacityofCp,m
2.5R.Fortheprocessofheating2.80molofthisgaswitha 120 W heater for
65 seconds, calculate a) q, w, T, and U for heating at a constant
volume, b) q, w, T, and H for heating at a constant pressure.
4.2) Determine the heat capacity Cp and the molar heat
capacity Cp,m of a solid sample from the observation that
transferring the sample with n =...
Find the Gibbs free energy for G(T,P) for an ideal gas with constant cv.
Find the Gibbs free energy for G(T,P) for an ideal gas with
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3.0 moles of an ideal gas with a molar heat capacity at constant volume of 4.9...
3.0
moles of an ideal gas with a molar heat capacity at constant volume
of 4.9 cal/(mol·K) and a molar heat capacity at constant pressure
of 6.9 cal/(mol·K) starts at 300 K and is heated at constant
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For the following, assume air is an ideal gas with constant specific heats at 300K. Find...
For the following, assume air is an ideal gas with constant
specific heats at 300K. Find the work and heat transfer and state
whether they are into or out of the air.
In an open system, air is heated at constant pressure from 27°C,
400 kPa to 500K.
w = 0 kJ/kg, q = 201 kJ/kg
In a closed system, air is heated at constant pressure from
27°C, 100 kPa to 500K.
w = 57.4 kJ/kg, q = 201 kJ/kg
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