Hot water and gas are initially at different temperatures, so energy is transferred from the hotter water to the cooler gas until thermal equilibrium is approached. [2]
At constant volume, p∝T, so p2/p1=330/290=1.14. [2]
Higher temperature means greater mean molecular kinetic energy. Molecules hit the walls more often and/or with larger momentum changes, increasing force per unit area. [3]
No boundary work is done because the container volume is fixed. [1]
Energy is supplied by heating and no work is done by expansion, so internal energy increases. [2]
Q2 Thermal route comparison
Latent heat is not temperature rise, and work is an energy transfer by macroscopic force/displacement, not ‘heat’. [2]
E=mL is used for change of state at constant temperature for mass m. [2]
Heat and work describe energy crossing a system boundary by different mechanisms. Their values depend on the process path, unlike internal energy which depends on state. [3]