Two containers of equal volume each hold samples of the same ideal gas. Container A has twice as many molecules as container B. If the gas pressure is the same in the two containers, the correct statement regarding the absolute temperatures T_A and T_B in containers A and B, respectively, is A) T_A = T_B. B) T_A = 2T_B. C) T_A = $\frac { 1 } { 2 }$ T_B. D) T_A = $\frac { 1 } { \sqrt { 2 } }$ T_B. E) T_A = $\frac { 1 } { 4 }$ T_B.

Question

Quizplus · Accepted Answer

According to the ideal gas law (PV = nRT), if pressure (P) and volume (V) are constant, the temperature (T) is directly proportional to the number of moles (n). Since container A has twice as many molecules as container B, T_A must be half of T_B to maintain the same pressure.

Two Containers of Equal Volume Each Hold Samples of the Same