Question

CO₂ gas at 27°C and 1.05 atm occupies 121 ml volume. at what temperature (in °C) will co2 occupy a volume of 293 ml at pressure of 1.40 atm?

Answer 1

Using the combined gas law, the temperature at which the CO₂ gas will occupy a volume of 293 ml at a pressure of 1.40 atm is found to be 100°C after converting back from Kelvins.

Step-by-step explanation:

You are trying to determine at what temperature CO₂ gas will occupy a different volume at a different pressure. To solve for the new temperature when the volume and pressure of a gas change, you can use the combined gas law, which is: P₁V₁/T₁ = P₂V₂/T₂, where P represents pressure, V represents volume, and T represents temperature in Kelvins.

First, convert the initial temperature from degrees Celsius to Kelvins: T₁ = 27°C + 273 = 300 K.

Next, rearrange the formula to solve for T₂:

T₂ = (P₁V₁T₂)/(P₂V₂)

Substitute the given values into the equation:

T₂ = (1.05 atm × 121 ml × 300 K) / (1.40 atm × 293 ml) = 373 K

Finally, convert T₂ back to degrees Celsius:

T₂ = 373 K - 273 = 100°C