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A perfect gas at 27^(@) C is heated at ...

A perfect gas at `27^(@) C ` is heated at constant pressure to ` 327^(@)` C . If original volume of gas at `27^(@) C ` is V, then volume at `327^(@)` C is

A

V

B

3V

C

2V

D

`(V)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `T_(1) = 300 , t_(2) = 600 K, rho_(1) = rho_(2) = rho`
Let ` V_(1) = V `
`( rho_(1) V_(1))/( T_(1)) = ( rho_(2)V_(2))/( T_(2))`
`rArr ( rho * V)/( 300) = ( rho * V_(2))/( 600)`
`rArr V_(2) = 2V `
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