Gas Volume Calculation at Different Temperatures

What is the volume of a gas at 150°C if it had a volume of 693 mL at 45°C?

Given data:

Initial volume (V1) = 693 mL

Initial temperature (T1) = 45°C

Final temperature (T2) = 150°C

Final volume (V2) = ?

Answer:

The volume of the gas at 150°C would be approximately 921.8207 mL.

To find the volume of a gas at a different temperature, we can use Gay-Lussac's Law. This law states that when the temperature of a gas increases, its volume also increases, provided that the pressure remains constant.

We can use the formula: (V1 / T1) = (V2 / T2), where V1 and V2 are the initial and final volumes, and T1 and T2 are the initial and final temperatures.

First, we need to convert the temperatures to Kelvin by adding 273 to each °C:

Initial temperature in Kelvin = 45°C + 273 = 318 K

Final temperature in Kelvin = 150°C + 273 = 423 K

Now, we can plug in the values into the formula and solve for the final volume:

(693 mL / 318 K) = (V2 / 423 K)

Solving for V2:

V2 = (693 mL x 423 K) / 318 K = 921.8207 mL

Therefore, the volume of the gas at 150°C would be approximately 921.8207 mL.