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