To calculate the temperature of the gas, we can use the Ideal Gas Law equation:
PV = nRT
where P is the pressure of the gas, V is the volume of the container, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature of the gas in Kelvin.
We can rearrange this equation to solve for T:
T = PV/nR
where:
P = 247.4 kPa (we convert from ka to kPa)
V = 3.75 L
n = 0.944 mol
R = 8.31 J/(mol*K) (the ideal gas constant)
Substituting these values into the equation, we get:
T = (247.4 kPa * 3.75 L) / (0.944 mol * 8.31 J/(mol*K))
Simplifying this expression, we get:
T = 93.6 K
Therefore, the temperature of the gas is 93.6 Kelvin. To convert this to Celsius, we can subtract 273.15 from the Kelvin temperature:
T (Celsius) = 93.6 K - 273.15 = -179.55 °C (rounded to two decimal places)
Therefore, the temperature of the gas is approximately -179.55 degrees Celsius.