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?

Question

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?, 325.5 ° C, 851 ° C, 651 ° C, None of these

MARKS App · Accepted Answer

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

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