Question

If you have a gas at a constant pressure of 800 mm Hg, the gas occupies a volume of 50 cm³ at a temperature of 40 °C. What volume will the gas occupy at a temperature of 0 °C?

A) 58.33 cm³
B) 50 cm³
C) 44.44 cm³
D) 47.06 cm³

Answer 1

The volume of the gas at a temperature of 0 °C can be calculated using Charles' Law. The final volume is approximately 44.44 cm³ at a constant pressure of 800 mm Hg.

Step-by-step explanation:

Gases are affected by changes in pressure and temperature. At constant pressure, the volume of a gas is directly proportional to its temperature. This relationship is described by Charles' Law. To solve the problem, we can use the equation:

V1 / T1 = V2 / T2

Given that the initial volume is 50 cm³, the initial temperature is 40 °C, and the final temperature is 0 °C, we can substitute these values into the equation to solve for the final volume:

(50 cm³ / 313 K) = (V2 / 273 K)

Solving for V2, we find that the final volume is approximately 44.44 cm³. Therefore, the correct answer is C) 44.44 cm³.