Initially, the air in an open vessel is maintained at 60 ° C . Later on, the vessel is heated to a temperature T , so that one-fourth mass of air escapes from the vessel. If the volume of the vessel remains constant during heating, the valu

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Initially, the air in an open vessel is maintained at 60 ° C . Later on, the vessel is heated to a temperature T , so that one-fourth mass of air escapes from the vessel. If the volume of the vessel remains constant during heating, the value of T is

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Correct answer: D. 171 ° C

Since it is an open vessel of constant volume, the pressure and volume of the gas remain constant but the number of moles and the temperature changes. P V = n 1 R T 1 = n 2 R T 2 ⇒ T 2 T 1 = n 1 n 2 = 1 3 4 ⇒ T 2 = 4 3 T 1 = 4 3 × 60 + 273 ⇒ T 2 = 444 K ≡ 171 ° C

Initially, the air in an open vessel is maintained at 60 ° C . Later on, the vessel is heated to a temperature T , so that one-fourth mass of air escapes from the vessel. If the volume of the vessel remains constant during heating, the value of T is

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