Fluids (finding the vel of air in a plane)

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To find the velocity of the air stream leaking from the window seal of an airplane cruising at 10 km, the pressure difference between the passenger compartment and the outside atmosphere must be considered. The outside pressure is 0.292 atm, while the inside pressure is 0.97 atm, creating a pressure gradient that drives the airflow. Using the ideal fluid model, Bernoulli's equation can be applied to relate the pressures and the velocity of the air. The density of air at 20°C and 1 atm is approximately 1.2 kg/m^3, which can be used in calculations. This approach allows for the determination of the air stream's velocity through the leak.
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An airplane is cruising at an altitude of 10 km. The pressure outside the craft is 0.292 atm; within the passenger compartment, the pressure is 0.97 atm and the temperature is 20°C. A small leak occurs in one of the window seals in the passenger compartment. Model the air as an ideal fluid to find the speed of the stream of air flowing through the leak.




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the density of air at is 1.2 kg/m^3 at 20 degrees centigrade and 1 atm.
 
Is there anyway to find the velocity of the air stream?
 

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