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.