These are physics questions that I made mistakes in during my A-Levels. I have provided answers at the back of the flashcard. These are questions that align with the OCR A A Level Physics Spec.
| Front | A diver at the bottom of a lake of depth d fills a syringe with an ideal gas and seals the nozzle. The piston remains free to move. The volume of the gas in the syringe at the bottom of the lake is 90 cm3. As the diver returns to the surface, the temperature of the gas does not change. At the surface of the lake the gas in the syringe is at atmospheric pressure and the volume of the gas is 720 cm3. What is the volume of the gas in the syringe at a depth \(\frac{d}{2}\)? |
| Back | Remember that the atmospheric pressure adds on to the water pressure\((\rho g \frac{d}{2} + P_{atm})V_{\frac{d}{2}} = 90(\rho g d + P_{atm})\) -> EQ 1From PV = constant for top and bottom \(P_d = 8 P_{atm}\)So \(\rho g d = 7P_{atm}\) so \(\rho g \frac{d}{2} = (\frac{7}{2})P_{atm}\)So EQ 1 turns into \(\frac{9}{2}P_{atm}V_{\frac{d}{2}} = 8P_{atm} \times 90\)So \(V_{\frac{d}{2}} = 160 cm^3\) |