For many gases the temperature dependence of the heat capacity C, of can be described in terms of a cubic equation: C = a+bT+cT²+dT³ The following table gives the coefficients of the cubic equation for four gases. C is in joules/(g mol)(°C) and 7 is in °C. Gas a b C d SO₂ 38.91 2 3.904 x 10 -3.105 x 10-5 -9 8.606 x 101 SO3 48.50 9.188 × 10 2 -8.540 x 10-5 -9 32.40 x 10 02 29.10 1.158 × 10 2 N₂ 29.00 -0.6076 × 10-5 0.2199 x 10-0.5723 × 10-5 -9 1.311 x 10 -2.871 × 10-9 Calculate the heat capacity for each gas at temperatures ranging between 200 and 400°C at 20°C increments. To present the results, create an 11x5 matrix where the first column is the temperature, and the second through fifth columns are the heat capacities of SO₂, SO3, O2, and №2, respectively.

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Solve the following using Matlab.

For many gases the temperature dependence of the heat capacity C, of can be
described in terms of a cubic equation:
C = a+bT+cT²+dT³
The following table gives the coefficients of the cubic equation for four gases.
C is in joules/(g mol)(°C) and 7 is in °C.
Gas
a
b
C
d
SO₂
38.91
2
3.904 x 10
-3.105 x 10-5
-9
8.606 x 101
SO3
48.50
9.188 × 10 2
-8.540 x 10-5
-9
32.40 x 10
02
29.10
1.158 × 10 2
N₂
29.00
-0.6076 × 10-5
0.2199 x 10-0.5723 × 10-5
-9
1.311 x 10
-2.871 × 10-9
Calculate the heat capacity for each gas at temperatures ranging between 200
and 400°C at 20°C increments. To present the results, create an 11x5
matrix where the first column is the temperature, and the second through fifth
columns are the heat capacities of SO₂, SO3, O2, and №2, respectively.
Transcribed Image Text:For many gases the temperature dependence of the heat capacity C, of can be described in terms of a cubic equation: C = a+bT+cT²+dT³ The following table gives the coefficients of the cubic equation for four gases. C is in joules/(g mol)(°C) and 7 is in °C. Gas a b C d SO₂ 38.91 2 3.904 x 10 -3.105 x 10-5 -9 8.606 x 101 SO3 48.50 9.188 × 10 2 -8.540 x 10-5 -9 32.40 x 10 02 29.10 1.158 × 10 2 N₂ 29.00 -0.6076 × 10-5 0.2199 x 10-0.5723 × 10-5 -9 1.311 x 10 -2.871 × 10-9 Calculate the heat capacity for each gas at temperatures ranging between 200 and 400°C at 20°C increments. To present the results, create an 11x5 matrix where the first column is the temperature, and the second through fifth columns are the heat capacities of SO₂, SO3, O2, and №2, respectively.
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