Air Is Filled At 60в°C In Vessel Of Open Mouth

Air is filled at 60°C in a vessel of open mouth. The vessel is heated to a temperature T so that (1/4)th … A) 333°C (B) 171°C …

Answers:

The correct option (B) 171°C

Explanation:

 For open mouth Vessel, pressure is constant. Volume is also given to be constant PV = nRT

 ∴ PV = {MRT/Mo}

∴ MT = constant

 ∴ (T1/T2) = (M2/M1)  (1)

As (1/4) th part escapes, mass remained is (3/4) m1 i.e. M2 = (3/4) m1

 ∴ (T1/T2) = [{(3/4) M1} / M1] = (3 / 4)

also  T1 = 60°C = 273 + 60 = 333 K

 ∴ T2 = (4/3) T1

 = (4/3) × 33 = 444 K

  ∴ T= 171°C