Calculate the new volume of 23.5 mL of N2 gas initially at 220k Pa and 98.7 degrees Celsius when converted to STP
To calculate the new volume of the N2 gas when converted to STP (Standard Temperature and Pressure), we need to use the combined gas law equation.
The combined gas law equation is: P1 × V1 / T1 = P2 × V2 / T2
Where:
P1 is the initial pressure of the gas (in this case, 220 kPa)
V1 is the initial volume of the gas (in this case, 23.5 mL)
T1 is the initial temperature of the gas (in this case, 98.7 °C + 273.15, converted to Kelvin)
P2 is the final pressure of the gas (STP condition is 101.325 kPa)
V2 is the final volume of the gas (what we want to calculate)
T2 is the final temperature of the gas (STP condition is 0 °C + 273.15, converted to Kelvin)
Let's calculate the new volume (V2):
V2 = (P1 × V1 × T2) / (P2 × T1)
Substituting the given values into the formula:
V2 = (220 kPa × 23.5 mL × 273.15 K) / (101.325 kPa × (98.7 °C + 273.15) K)
First, convert the mL to liters by dividing by 1000:
V2 = (220 kPa × (23.5 mL / 1000 L) × 273.15 K) / (101.325 kPa × (98.7 °C + 273.15) K)
Next, convert the Celsius temperature to Kelvin:
V2 = (220 kPa × (23.5 mL / 1000 L) × 273.15 K) / (101.325 kPa × (98.7 °C + 273.15 °C))
Now, let's calculate the value:
V2 = (220 kPa × 0.0235 L × 273.15 K) / (101.325 kPa × 372.85 K)
V2 ≈ 0.0149 L
Therefore, when the N2 gas is converted to STP, the new volume will be approximately 0.0149 liters.