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
Verified Correct Answer: D.
Physical Principles & Numerical Solution
\(\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}\)
Given \(V_{2} = 2V_{1}\)
\(T_{1} = 27^\circC + 273 = 300k\)
\(\frac{V_{1}}{300} = \frac{2V_{1}}{T_{2}}\)
\(\frac{1}{300} = \frac{2}{T_{2}} \implies T_{2} = 600k or 327^\circC\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #42690)