Physics Weekly Problem Set In attachment Can you Please write out formulas and work used to get answers…Thank You,Hello there where just a few questions that I had on the attachment that did not get answered. Thank you for your help with the other solutions!!! Three liquids Three different liquids are mixed together in a calorimeter. The masses of the liquids are: m1 = 865 g, m2 = 530 g, m3 = 520 g. The specific heats are: c1 = 275 J/kgC, c2 = 515 J/kgC, c3 = 860 J/kgC. The initial temperatures of the liquids are: T1 = 30.0 °C, T2 = 53.5 °C, T3 = 80.5 °C. What will be the temperature of the mixture in Celsius? (Enter only a number without a unit.) Serway_P12-13 (4 parts) An ideal monotonic gas is compressed at a constant pressure of 1.1 atm from 6 L to 1.5 L. Note: Atmospheric pressure is 1.013×105 Pa. By how many cubic meters is the volume reduced? What is the work done on the gas? What was the change in the internal energy of the gas? How much heat was added to the gas during the compression? serway_P12-02.problem A sample of helium-4 behaves as an ideal gas as it is heated at constant pressure from 296 K to 406 K. If 25 J of work is done by the gas during this process, what is the mass of helium present? serway_P12-08.problem (4 parts) A movable piston having a mass of 8 kg and a cross-sectional area of 5 cm2 traps 0.21 mol of an ideal gas in a vertical cylinder. The piston slides without friction in the cylinder. The outside of the cylinder is kept at atmospheric pressure, 1.013×105 Pa. What is the pressure in the cylinder? How much work is done by the gas when its temperature is increased from 20°C to 350°C? What was the change in the gravitational potential energy of the piston? By what height was the piston raised?