A syringe containing 1.50 mL of oxygen gas is cooled from 92.3°C to 0.0°C. What is the final volume of oxygen gas?
(V1/T1) = (V2/T2)
To find the final volume of the oxygen gas, we can use the Ideal Gas Law. The Ideal Gas Law equation is given by:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
In this case, we have the initial volume V1 = 1.50 mL, the initial temperature T1 = 92.3°C, and the final temperature T2 = 0.0°C. We also know that the pressure P and the number of moles n remain constant.
To start, we need to convert the temperature from Celsius to Kelvin. The conversion formula is:
T(Kelvin) = T(Celsius) + 273.15
Applying this conversion, we get:
T1(Kelvin) = 92.3°C + 273.15 = 365.45 K
T2(Kelvin) = 0.0°C + 273.15 = 273.15 K
Now, we can rearrange the Ideal Gas Law equation to solve for the final volume V2:
V2 = (V1 * T2) / T1
Substituting the known values:
V2 = (1.50 mL * 273.15 K) / 365.45 K = 1.118 mL
Therefore, the final volume of the oxygen gas is approximately 1.118 mL.