Math Problem Statement
soalnya kayak gini The figure shows the thermodynamic cycle of an engine. The efficiency of this engine for monatomic gas is
η=ln(T2/T1)−(1−T1/T2)ln(T2/T1)+(1−T1/T2)/(γ−1)
where T is the absolute temperature and γ=5/3. Find T2/T1 that results in 30% efficiency (η=0.3).
Petunjuk: Buatlah plot dari persamaan tersebut untuk menentukan pengambilan dugaan awalnya. programnya kayak gini import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
Menentukan jumlah suku
n = np.arange(1, 101) # Membuat array n dari 1 sampai 100
Menghitung nilai suku-suku
barisan1 = (n + 3) / (n + 7)
barisan2 = (2 * n + 3) / (2 * n + 7)
Membuat tabel data
data = pd.DataFrame({
'n': n,
'Barisan 1': barisan1,
'Barisan 2': barisan2
})
print(data)
Membuat plot
plt.figure(figsize=(12, 6))
plt.plot(n, barisan1, label='Barisan 1: (n+3)/(n+7)', marker='o')
plt.plot(n, barisan2, label='Barisan 2: (2n+3)/(2n+7)', marker='x')
plt.axhline(y=1, color='r', linestyle='--', label='y=1 (Limit)')
plt.title('Plot Suku-Suku Barisan')
plt.xlabel('n')
plt.ylabel('Nilai Suku')
plt.legend()
plt.grid()
plt.show() bagaimana interpretasinya
Solution
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Math Problem Analysis
Mathematical Concepts
Thermodynamics
Logarithms
Efficiency
Monatomic Gas
Formulas
η = ln(T2/T1) − (1 − T1/T2)ln(T2/T1) + (1 − T1/T2)/(γ−1)
Theorems
Laws of Thermodynamics
Logarithmic Functions
Suitable Grade Level
Undergraduate Physics or Engineering
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