please help this physics questions with clear steps and also with clear details, thank you (please take "a" as 9.81 and also with 4 decimal places)

2. ( 16 %) (a) How much 0C ice are required to add to 500g of 90C water such that the final temperature of all water is 30C? (Specic heat capacity of water = 4200mg'1C'l, specic latent heat of fusion of ice = 3.34x1051kg", specic heat capacity of ice = 2108 .lkg'lC'l) (b) The volume of an ideal gas is decreased from 1.1 m3 to 0.84 m3 while maintaining a constant pressure of 990 Pa (1 Pa = l Nz'mz). How much work is done on the gas to compress it? (c) An insulated cylinder contains an ideal gas B. The volume of gas B is 1050 cm3. Its pressure is 0.8 x 105 Pa. The number of molecules of gas B in the cylinder is 2.111(1024 . Find the temperature of the gas B in degree Celsius. (d) State and explain whether it is possible to move heat 'om cooler environment to hotter environment