Answer:
175.7 mL
Step-by-step explanation:
The following data were obtained from the question:
Initial volume (V1) = 223.6 mL
Initial temperature (T1) = 74.5 °C
Final temperature (T2) = stp = 273 K
Final volume (V2) =.?
Next, we shall convert celsius temperature to Kelvin temperature.
This is illustrated below:
Temperature (K) = Temperature (°C) + 273
T (K) = T (°C) + 273
Initial temperature (T1) = 74.5 °C
Initial temperature (T1) = 74.5 °C + 273 = 347.5 K
Finally, we shall determine the volume of the gas at standard temperature as follow:
Initial volume (V1) = 223.6 mL
Initial temperature (T1) = 347.5 K
Final temperature (T2) = stp = 273 K
Final volume (V2) =.?
V1/T1 = V2/T2
223.6/347.5 = V2/273
Cross multiply
347.5 x V2 = 223.6 x 273
Divide both side by 347.5
V2 = (223.6 x 273) /347.5
V2 = 175.7 mL
Therefore, the volume of the gas at standard temperature is 175.7 mL.