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 P: 98 I have a hemisphere dome, which volume = $\frac{2}{3}$∏r3 Inside the dome, pressure is 1atm (assume 1.05 kPa) Outside the dome, pressure is 0.01atm (10.5 Pa) I then puncture a 0.2 cm2 (2 x 10-5 m2) hole on the flat side of the dome. Question: Find time taken for pressure to equalise. -------------- I have searched up the internet, and seems that I have to use bernoulli. But I have a few problems. 1) I have no idea what to substitute for the variables. 2) Are the density of air inside and outside the dome different? 3) How should I use calculus (or differential equations, or anything else) to find the time taken, given the process is non-linear in relation. Thanks