Question

A sample of nitrogen gas at a pressure of 823 mm Hg and a temperature of 47 °C occupies a volume of 13.3 liters. If the gas is cooled at constant pressure to a temperature of 3 °C, the volume of the gas sample will be ____.

Answer 1

0.849 L

Step-by-step explanation:

Since pressure is being held constant, you need to use the Charles' Law equation to find the final volume. The equation looks like this:

V₁ / T₁ = V₂ / T₂

In this equation, "V₁" and "T₁" represent the initial volume and temperature. "V₂" and "T₂" represent the final volume and temperature. After you plug the given values into the equation, you can simplify to find "V₂".

V₁ = 13.3 L V₂ = ? L

T₁ = 47 °C T₂ = 3 °C

V₁ / T₁ = V₂ / T₂ <----- Charles' Law equation

13.3 L / 47 °C = V₂ / 3°C <----- Insert values

0.283 = V₂ / 3 °C <----- Simplify left side

0.849 = V₂ <----- Multiply both sides by 3 °C