One mole of an ideal gas has a temperature of 25°C. If the volume is held constant and the pressure is doubled, the final temperature (in °C) will be
A) 174
B) 596
C) 50
D) 323
E) 25

Question

Quizplus · Accepted Answer

According to Charles' Law, when the volume of an ideal gas is kept constant, the temperature and pressure are directly proportional. Therefore, doubling the pressure will double the temperature as well. The final temperature can be calculated using the formula:
T2 = T1 * (P2/P1)
T1 = 25°C = 298 K (Convert to Kelvin)
P1 = 1 atm (given)
P2 = 2 atm (given)
T2 = 298 * (2/1) = 596 K = 323°C
Therefore, the final temperature will be 323°C.

One Mole of an Ideal Gas Has a Temperature of 25°C