The fix amount of gas at 20°C and constant pressure has volume 650ml.calculate the volume in litres of the same gas at 0°C?

To solve this problem, we can use the combined gas law, which states that the ratio of the initial volume to the final volume is equal to the ratio of the initial temperature to the final temperature, assuming constant pressure.

The formula for the combined gas law is:

(V1 / T1) = (V2 / T2)

Where:
V1 = initial volume (in mL)
T1 = initial temperature (in Kelvin)
V2 = final volume (in mL)
T2 = final temperature (in Kelvin)

Given:
V1 = 650 mL
T1 = 20°C = 20 + 273.15 = 293.15 K
T2 = 0°C = 0 + 273.15 = 273.15 K

Plugging in the values into the formula:

(650 mL / 293.15 K) = (V2 / 273.15 K)

Cross-multiplying:

650 mL * 273.15 K = V2 * 293.15 K

V2 = (650 mL * 273.15 K) / 293.15 K

V2 = 605.62 mL

Converting mL to liters:

V2 = 605.62 mL / 1000 mL/L

V2 = 0.60562 L

Therefore, the volume of the gas at 0°C is approximately 0.60562 liters.