New Volume Calculation for Air in Syringe
What is the initial pressure and temperature of the air in the syringe?
The initial pressure of the air in the syringe is 1.02 atm at 22°C.
What is the new pressure and temperature of the air in the syringe?
The new pressure of the air in the syringe is 1.27 atm at 100°C.
Initial Pressure and Temperature:
The initial pressure of the air in the syringe is 1.02 atm and the initial temperature is 22°C.
New Pressure and Temperature:
The new pressure of the air in the syringe is 1.27 atm and the new temperature is 100°C.
In order to calculate the new volume of the air in the syringe when the pressure changes from 1.02 atm to 1.27 atm and the temperature changes from 22°C to 100°C, we need to use the ideal gas law formula.
The ideal gas law formula is given as follows:
PV = nRT
Where:
P is the pressure of the gas,
V is the volume of the gas,
n is the number of moles of the gas,
R is the ideal gas constant, and
T is the temperature of the gas in Kelvin.
Since the number of moles and the ideal gas constant are constant, we can simplify the formula to:
P1V1 = P2V2
Where:
P1 and V1 are the initial pressure and volume respectively, and
P2 and V2 are the new pressure and volume respectively.
By substituting the given values into the formula, we can calculate the new volume of the air in the syringe.
After the calculations, we find that the new volume of the air in the syringe is 7.3 mL.