A capacitor \( P \) with capacitance \( 10 \times 10^{-6} \, \text{F} \) is fully charged with a potential difference of \( 6.0 \, \text{V} \) and disconnected from the battery. The charged capacitor \( P \) is connected across another capacitor \( Q \) with capacitance \( 20 \times 10^{-6} \, \text{F} \). The charge on capacitor \( Q \) when equilibrium is established will be \( \alpha \times 10^{-5} \, \text{C} \) (assume capacitor \( Q \) does not have any charge initially), the value of \( \alpha \) is __________.
