Answer :

Final answer:

The new temperature of the gas when the volume shrinks to 4.00 ml is calculated, using Charles's law, to be 194 Kelvin.

Explanation:

To figure out the new temperature when the volume of the gas is reduced, we can use Charles's law, which states that the volume of a gas is directly proportional to its absolute temperature, provided the pressure stays constant. In this case, the initial volume (V₁) is 8.00 ml, the initial temperature (T₁) is 115 Celsius converted to Kelvin (115 + 273 = 388K), the final volume (V₂) is shrunk to 4.00 ml. The new temperature can be calculated using the formula: T₂ = V₂ * T₁ / V₁

So, inserting our known values, T₂ = (4 ml * 388 K) / 8 ml, we can then calculate T₂ = 194 K as the new temperature if the gas volume shrinks to 4.00 ml. To find the new temperature, we can use Charles's law, which states that the volume of a gas is directly proportional to its temperature at constant pressure. We can set up the following equation:

V1/T1 = V2/T2

Learn more about Charles's law here:

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