A gas occupies a certain volume at 27°C. At what temperature will its volume be twice times the original volume assuming that its pressure remains constant?

A.

54°C

B.

108°C

C.

150°C

D.

327°C

E.

600°C

Correct answer is D

\(\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}\)

Given \(V_{2} = 2V_{1}\)

\(T_{1} = 27°C + 273 = 300k\)

\(\frac{V_{1}}{300} = \frac{2V_{1}}{T_{2}}\)

\(\frac{1}{300} = \frac{2}{T_{2}} \implies T_{2} = 600k  or 327°C\)