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Question: An open flask contains air at \(27^{0}C\). At what temperature should it be heated so that 1/3<sup>r...

An open flask contains air at 270C27^{0}C. At what temperature should it be heated so that 1/3rd of air present in it goes out?

A

1770C177^{0}C

B

1000C100^{0}C

C

3000C300^{0}C

D

1500C150^{0}C

Answer

1770C177^{0}C

Explanation

Solution

: Let initial number of moles of air at 270C27^{0}C (300k) =n

At temperature T K, the no. of moles left =nn3=2n3= n - \frac{n}{3} = \frac{2n}{3}

At constant pressure and volume, n1T1=n2T2n_{1}T_{1} = n_{2}T_{2}

n×300=2n3×TT=450kor1770Cn \times 300 = \frac{2n}{3} \times T \Rightarrow T = 450kor177^{0}C