1) Compute the change in the internal energy of a thermodynamic system under the following scenarios: (i) 50 J of heat added and 40 J work extracted, (ii) 50 J of heat added and 75 J work extracted, (iii) 50 J of heat removed and 40 J work extracted, (iv) 50 J of heat removed and 75 J work input. 2) By how much does the internal energy of 0. 25 kg of liquid water change when it is heated from 20 C to 25 C? 3) By how much does the internal energy of 0.25 kg of ice (solid water) change when it is heated from ?10 C to ?5 C? 4) By how much does the internal energy of 0 .25 kg of ice at 0 C change when melted to liquid water (also at 0 C)? 5)By how much does the internal energy of 0.25 kg of ice at ?5 C change when it is converted entirely to liquid water at 5 C?