Final answer:
To calculate the change in entropy and heat supplied for nitrogen gas in a rigid cylinder being heated, we use thermodynamic formulas involving the number of moles, molar heat capacity at constant pressure, and temperatures before and after heating.
Step-by-step explanation:
The question involves calculating the change of entropy and the heat supplied to a rigid cylinder containing nitrogen gas. To find the change in entropy (ΔS), we use the formula for an ideal gas undergoing a reversible process at constant pressure:
ΔS = nCpln(T2/T1)
where: n is the number of moles, Cp is the molar heat capacity at constant pressure, T1 is the initial temperature, and T2 is the final temperature. To calculate the heat supplied (Q), we use the formula:
Q = nCp(T2 - T1)
Both formulas require the number of moles (n), which can be determined using the ideal gas law (PV = nRT) and the given values for volume, pressure, and temperature.