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: \[ C = 0.159 \times 0.164 = 0.0261 \, \text{mol dm}^{-3} \]
Derive an expression for maximum speed of a vehicle moving along a horizontal circular track.
If the mean and variance of a binomial distribution are \( 18 \) and \( 12 \) respectively, then the value of \( n \) is __________.