An open vessel at 27°C is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :

Question

An open vessel at 27°C is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is : (A) 750°C (B) 500°C (C) 750 K (D) 500 K

Tardigrade Admin · Accepted Answer

(2/5)air escaped from vessel, ∴ (3/5) air remain is vessel , P, V constant n1T1 = n2 T2 n1 (300) = ((3/5) n1)T2 ⇒ T2 =500 K

Q. An open vessel at $2 7^{\circ} C$ is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :

$75 0^{\circ} C$

$50 0^{\circ} C$

$750 K$

$500 K$

$\frac{2}{5}$ air escaped from vessel, $∴ \frac{3}{5}$ air remain
is vessel , P, V constant
$n_{1} T_{1} = n_{2} T_{2}$
$n_{1} (300) = (\frac{3}{5} n_{1}) T_{2} \Rightarrow T_{2} = 500 K$

Q. An open vessel at 27∘C is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :

750∘C

500∘C

750K

500K