At constant pressure the temperature of a 4.0 L sample of gas is decreased from 50. °C to 25 °C. What is the new volume of the gas sample?
A) 2.00 L
B) 3.69 L
C) 4.34 L
D) 8.00 L

Question

Quizplus · Accepted Answer

According to Charles's Law, at constant pressure, the volume of a gas is directly proportional to its temperature in Kelvin. We can convert the given temperatures to Kelvin by adding 273.15 to each value.

Initial temperature = 50 °C + 273.15 = 323.15 K 
Final temperature = 25 °C + 273.15 = 298.15 K

Using the formula V1/T1 = V2/T2, we can find the new volume (V2):

V1 = 4.0 L (given)
T1 = 323.15 K
T2 = 298.15 K

V2 = (V1/T1)T2 = (4.0/323.15)298.15 = 3.69 L

Therefore, the new volume of the gas sample is 3.69 L, which corresponds to choice B.

At Constant Pressure the Temperature of a 4