Question

A scuba tank is filled with air to a gauge pressure of 204 atm when the air temperature is 33 ∘C. A diver then jumps into the ocean and, after a short time on the ocean surface, checks the tank's gauge pressure and finds that it is only 196 atm. Assuming the diver has inhaled a negligible amount of air from the tank, what is the temperature of the ocean water? Express your answer to two significant figures and include the appropriate units.

Answer 1

given

P₁ = 204 atm ,

T₁ = 33^oC

= 33 + 273

= 306 K

P₂ = 196 atm ,

T₂ = ?

we have equation and that the relation is

P₁ / P₂ = T₁ / T₂

T₂ = T₁ P₂ / P₁

T₂ = 306 X 196 / 204

T₂ = 294 K

T₂ = 21^oC

the temperature of the ocean water is T₂ = 21^oC