A 100g sample of Ne g at 1 atm pressure and 27 degrees Celsi

A 1.00g sample of Ne (g) at 1 atm pressure and 27 degrees Celsius is allowed to expand into an evacuated vessel of 2.50 L volume. Does the gas do work? Explain.

Solution

at temperature and pressure: T = 27 deg C , P = 1 atm, you can derive this one using ideal gas law:
PV = nRT
where
P = 1 atm (STP)
T = 273.15+27=300.15 K (STP)
R = gas constant = 0.0821 L*atm/mol-K
n=1/20.1797=.0495

V=nRT/P=(.0495*.0821*300.15)=12.19L

yes the gas do work because volume can be expand upto 12.19L