please solve this problem

• A pendulum of a 'grandfather' clock is 2.0m long and made of steel. Determine the change in length of the pendulum if the temperature rises by 15K. Assume the coefficient of linear expansion of steel to be 15 x 10^-6 K^-1.

1. A temperature control system is operated by the expansion of a zinc rod which is 200mm long at 15C. If the system is set so that the source of heat supplied is cut off when the rod has expanded by 0.20mm, determine the temperature to which the system is limited. Assume the coefficient of linear expansion ofzinc to be 31 x 10^-6 K^-1.
2. Determine the amount of heat energy needed to change 400g of ice, initially at -20C, into steam at 120C. Assume the following:

Latent heat of fusion of ice = 335kJ/kg, latent heat of vaporisation of water = 2260kJ/kg, specific heat capacity of ice = 2.14kJ/kgK, specific heat capacity of water = 4.2kJ/kgK and specific heat capacity of steam = 2.01kJ/kgK.

1. Calculate the volume flow rate and mass flow rate of an incompressible fluid, of density 728 kg/m³, that flows through a diverging pipe with an inlet diameter, D1, of 478mm. The velocity entering the pipe, V1, is 3.8 m/s. Calculate the outlet diameter, D2, of the pipe if the required outlet velocity, V2, is 9.6m/s.