Physics
Thermal physics and ideal gases
- 1.
A 0.250 kg aluminium block warms from 20.0 to 60.0 degrees C. Specific heat capacity is 900 J kg^-1 K^-1. Find energy transferred, assuming no losses, to 3 significant figures.
[3 marks] - 2.
A fixed amount of ideal gas in a sealed rigid container is initially at 100 kPa and 300 K. It is heated at fixed volume to 450 K with no gas entering or leaving. Find final pressure and explain the molecular reason.
[3 marks] - 3.
Mix 0.200 kg water at 80.0 degrees C with 0.300 kg water at 20.0 degrees C. Find equilibrium temperature. Neglect heat loss and container heat capacity; specific heat is identical and constant.
[3 marks] - 4.
Find rms molecular speed for an ideal gas at 300 K with molar mass 0.0280 kg mol^-1, using R = 8.31 J mol^-1 K^-1. Explain why this is not the mean velocity. Give 3 significant figures.
[3 marks] - 5.
Place 0.0500 kg ice at 0 degrees C in 0.200 kg water at 30.0 degrees C in an insulated container of negligible heat capacity. Use c_water = 4200 J kg^-1 K^-1 and L_f = 3.34e5 J kg^-1. Decide whether all ice melts and find final temperature.
[3 marks] - 6.
Exactly 0.500 mol ideal gas expands reversibly and isothermally at 300 K from 0.0100 to 0.0200 m^3. Given work by gas W = nRT ln(V2/V1), use R = 8.31 J mol^-1 K^-1 to find work and heat supplied. State internal energy change and the sign convention.
[3 marks]
Marking points are indicative, not an official mark scheme. Accept equivalent valid methods and supported interpretations that address the task; award each mark once without requiring the model wording.