Answer:
6.70 liters of volume
Step-by-step explanation:
At STP (Standard Temperature and Pressure), the temperature is 273.15 K (0°C) and the pressure is 1 atm (101.325 kPa).
To determine the volume of the gas, we can use the ideal gas law, which relates the pressure, volume, temperature, and number of molecules of a gas:
PV = nRT
where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles of gas
R = gas constant (0.08206 L·atm/K·mol)
T = temperature (in Kelvin)
To solve for the volume, we can rearrange the equation:
V = (nRT)/P
We are given the number of molecules of the gas, which is 1.72 x 10^23. To convert this to moles, we need to divide by Avogadro's number:
n = (1.72 x 10^23)/(6.022 x 10^23) = 0.286 moles
Substituting the values into the equation, we get:
V = (0.286 mol x 0.08206 L·atm/K·mol x 273.15 K)/1 atm = 6.70 liters
Therefore, 1.72 x 10^23 molecules of an ideal gas would occupy 6.70 liters of volume at STP.