Final answer:
The question involves applying Charles's law in Physics to calculate the temperature required to achieve a pressure that will displace a cork from a bottle. By using the initial temperature in Kelvin and the desired pressure, we can find the temperature needed to increase the pressure sufficiently.
Step-by-step explanation:
The subject of this question is Physics, specifically focusing on the laws of gases and how temperature changes affect gas pressure. The question relates to the removal of a cork from a bottle by heating the air inside to a certain temperature in order to reach a pressure that will force the cork out. To answer this, we apply the ideal gas law and Charles's law which relates temperature and pressure under constant volume.
To find the required temperature to remove the cork at 3 atmospheric pressure, we use the formula from Charles's law:
P1/T1 = P2/T2
where T needs to be in Kelvin. Given that the initial temperature is 35°C and the initial pressure is not specified, we assume it is 1 atm since the bottle is corked at standard conditions. Convert 35°C to Kelvin by adding 273 to get 308 K (T1) and solve forT2 when P2 is 3 atm.