What's the Volume of Air in Dan's Diving Bell at 10m Depth?

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SUMMARY

At a depth of 10 meters, Dan's diving bell experiences a doubling of pressure and a temperature drop from 27 °C to 7 °C. Using the ideal gas law equation P1 x V1/T1 = P2 x V2/T2, where V1 is 2 cubic meters, it is established that P2 can be expressed as 2P1. The final volume of air (V2) in the diving bell can be calculated by substituting the known values into the equation, resulting in a volume of approximately 1.4 cubic meters at the specified depth and temperature.

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Homework Statement


At the surface, where the temperature is 27 °C, the volume of air in Dan’s diving bell is 2 metres cubed. When he descends to a depth of 10 m the pressure doubles and the temperature drops to 7 °C. What volume of air does Dan have in his diving bell now?

Homework Equations


P1 x V1/T1 = P2 x V2/T2

The Attempt at a Solution


P1= ? P2= ?
V1= 2 metres cubed V2= ?
T1= 27 °C (300 Kelvin) T2= 7 °C (280 Kelvin)


Im having trouble finding out P1 and therefore I can't find out P2 and V2!
Please help me.
Thanks
 
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lillybelle14 said:
Im having trouble finding out P1 and therefore I can't find out P2 and V2!
You don't need the actual pressure, just the fact that it doubles. Express P2 in terms of P1.

(Although: What's the pressure at the surface of the water?)
 

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