State an expression, in terms of work done and heating, that is used to find the increase in internal energy of a system.
State and explain, using your expression in (a), what happens to the internal energy of the water in an ice cube when the ice melts at atmospheric pressure to form a liquid with no change in temperature.
State and explain, using your expression in (a), what happens to the internal energy of the gas in a tyre when the tyre bursts and the gas suddenly increases in volume. Assume that the gas is ideal.