Q17 / 160 · NTA Abhyas (JEE Main) 2020 · Physics · Thermodynamics

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.

  • A
    325.5 °C
  • B
    851 °C
  • Correct answer
    C
    651 °C
  • D
    None of these

Solution

We know that, p1V=nRT1

⇒1×V=nR35+273

=nR×308 ....(i)

and p2V=nRT2

⇒  3×V=nRT2 ....(ii)

On dividing Equation (ii) by Equation (i), we get

3=T2/308

⇒ T2=924 K

T2=924-273

=651 °C

Hence, the correct answer is option: 'C'.

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