An open vessel at 27 ^ o C is heated until two fifth of the air...

An open vessel at

{27}^{o}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 to which the vessel has heated is:

Options

A ${750}^{o}C$
B ${500}^{o}C$
C $750K$
D $500K$

Correct answer

D. $500K$

Step-by-step solution

{n}_{1}{T}_{1} = {n}_{2}{T}_{2}

⇒ n \times 300 = \left(n - \dfrac{2n}{5}\right){T}_{2}

⇒ 300 = \dfrac{3}{5}{T}_{2}

⇒ {T}_{2} = 500K

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