27.7 L of a gas is cooled at constant pressure from 87 °C to 24 °C.What will the volume be at the lower temperature? A)0.0438 L B)7.64 L C)22.9 L D)33.6 L E)1.00 × 10² L

Question

Quizplus · Accepted Answer

According to Charles's Law (the law of volumes), when the pressure of a gas is held constant, the volume of the gas is directly proportional to its absolute temperature. Mathematically, this can be expressed as:

V1/T1 = V2/T2

where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature.

In this problem, we are given:

V1 = 27.7 L (the initial volume)
T1 = 87°C + 273.15 (the initial absolute temperature in Kelvin)
T2 = 24°C + 273.15 (the final absolute temperature in Kelvin)

We can use these values to solve for V2:

V1/T1 = V2/T2
27.7/360.3 = V2/297.15
V2 = (27.7/360.3) * 297.15
V2 = 22.90 L

Therefore, the volume of the gas at the lower temperature (24°C) is 22.9 L. The answer is (C).

277 L of a Gas Is Cooled at Constant Pressure