High School

A sample of CO₂ (g) at 30°C and 98.5 kPa is placed in a 6.0 L container. Find the pressure if the temperature is raised to 60°C and the volume is changed to 3.0 L.

Answer :

The pressure when the temperature is raised to 60°C and the volume is changed to 3.0 L is approximately 1.939 kPa.

When a sample of CO2 (g) is placed in a 6.0 L container at 30°C and 98.5 kPa, and the temperature is raised to 60°C and the volume is changed to 3.0 L, we can calculate the new pressure using the combined gas law.

The combined gas law states that the ratio of the initial pressure, volume, and temperature to the final pressure, volume, and temperature is equal. This can be represented as:

(P1 * V1) / T1 = (P2 * V2) / T2

where P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes, and T1 and T2 are the initial and final temperatures.

We can rearrange the equation to solve for the final pressure, P2:

P2 = (P1 * V1 * T2) / (V2 * T1)

Plugging in the given values:

P2 = (98.5 kPa * 6.0 L * 333 K) / (3.0 L * 303 K)

Simplifying:

P2 = 1763.5 kPa / 909 kPa

P2 = 1.939 kPa



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