import numpy as np
import matplotlib.pyplot as plt

# Generate x values
x = np.linspace(0, 1, 10000)

# Calculate the corresponding y values
y = 1 - np.sqrt(1 - x)

# Create the plot
plt.figure(figsize=(8, 6))
plt.plot(x, y, label=r'$1 - \sqrt{1 - x}}}, color='blue')
plt.plot(x, x, linestyle='--', label=r'$y = x}}, color='red')

# Add labels to axes
plt.xlabel(r'$\eta_{Carnot}}})
plt.ylabel(r'$\eta}})
# Show the plot
plt.grid(True)
plt.savefig("eta_carnot.svg")