State an expression, in terms of heating and work done, that is used to work out the increase in internal energy of a system.
State and explain, in terms of your expression in (a), the change, if any, in the internal energy of the water in an ice cube as the ice melts at atmospheric pressure to form a liquid with no change in temperature.
State and explain, in terms of your expression in (a), the change, if any, in 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.