Air is filled in a bottle at atmospheric pressure and it is corked at 35 ° C . If the cork can come out at a pressure 3 times the atmospheric pressure, then up to what temperature should the bottle be heated in order to remove the cork.

Step-by-step solution

We know that, p 1 V = n R T 1 ⇒ 1 × V = n R 35 + 273 = n R × 308 ....(i) and p 2 V = n R T 2 ⇒     3 × V = n R T 2 ....(ii) On dividing Equation (ii) by Equation (i), we get 3 = T 2 / 308 ⇒   T 2 = 924   K T 2 = 924 - 273 = 651   ° C