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A gas at a pressure of 5 atm is heated f...

A gas at a pressure of 5 atm is heated from `0^(@)` to `546^(@)` C and simultaneously compressed to `(1)/(3)` rd of it original volume . Hence final pressure is

A

10.0 atm

B

30.0 atm

C

45.0 atm

D

5.0 atm

Text Solution

Verified by Experts

The correct Answer is:
C
`P_(1) = 5 atm, " " P_(2) = ?`
`V_(1) = V mL` (say), `V_(2) = V//3 mL`
`T_(1) = 273 K, T_(2) 273 + 546 = 819 K`
`P_(2) = (P_(1)V_(1)T_(2))/(T_(1)V_(2)) = (5 xx V xx 819)/(273 xx (V//3))`
`= (5 xx 3 xx 819)/(273) = 45.0 atm`
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