Question

A gas was compressed to half of its volumes at ${27}^{o}C$. To what temperature it should be heated so that its volume increases to double of its original volume ?

• A. ${273}^{o}C$
• B. $303K$
• C. $240K$
• D. $606K$

Answer 1

The correct option is A ${273}^{o}C$

Initial volume $=V$

Final volume $=2V$

Pressure being constant, volume is directly proportional to temperature.

Given temp $={27}^{0}C$ $=27+273=300$ Kelvin.

$V/273=2V/T$

$T=273\times 2$

$T=546$ Kelvin

$T={273}^{o}C$

Hence, option A is correct.