Consider a droplet of methanol with an initial diameter of $80$ mm$.$ It is injected into a chamber with an ambient temperature of $750$ K and ambient pressure of $1$ atm. Calculate the lifetime of the droplet. An additive is reported to reduce the boiling temperature of methanol by $40$ K without affecting the heat of vaporization. Unfortunately, the additive also causes the initial droplet size to increase to $95$ mm$.$ Calculate the new droplet lifetime. Describe briefly how droplet lifetime would be affected if the ambient pressure were increased to $10$ atm.