Henry's law is expressed as follows: \[ C = k_H P \] Definitions:
- \( C \) represents the solubility of the gas in mol dm\(^{-3}\),
- \( k_H \) is Henry's constant, here \( 0.159 \, \text{mol dm}^{-3} \text{ bar}^{-1} \),
- \( P \) stands for the partial pressure of the gas, \( 0.164 \, \text{bar} \).
Calculating the solubility: \[ C = 0.159 \times 0.164 = 0.0261 \, \text{mol dm}^{-3} \]
Explain the construction of a spherical wavefront by using Huygens' principle.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.