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An open flask contains air at 27^(@)C Ca...

An open flask contains air at `27^(@)C` Calculate the temperature at which it should be heated so that
(a) `(1)/(3)` rd of air measured at `27^(@)C` escapes out

A

`177 .^(@)C`

B

`100 .^(@)C`

C

`300 .^(@)C`

D

`150 .^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A

Let initial number of moles of air at `27 .^(@)C(300 K)=n`
At temperature T K, the no. of moles left `=n-(n)/(3)=(2n)/(3)`
At constant pressure and volume, `n_(1)T_(1)=n_(2)T_(2)`
`n xx300=(2n)/(3)xxT rArr T=450 K` or `177 .^(@)C`
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