# An open vessel at 270 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 : (in K)

As we have learned in the gaseous state,

we know 2/5 air escaped from the vessel, 3/5 air remains in the vessel.

P, V constant,

$\begin{array}{l} n_{1} T_{1}=n_{2} T_{2} \\ \\ n_{1}(300)=\left(\frac{3}{5} n_{1}\right) T_{2} \\ \\ \Rightarrow T_{2}=500 K \end{array}$

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