Africtionless piston cylinder device is filled with benzene at a pressure of 3.94 mpa and a quality of 30%. the benzene is heated until the temperature reaches 345°c. benzene data: tc. = 564 k pcr. = 4.92 mpa r = 0.1064 kj/kg: k cp = 0.502 +0.00252* t kj/kg. k using the generalized charts, determine the following: (a) the temperature in state 1, in k, (b) the work done during this process in kj/kg, (c) the heat transferred to the benzene during this process in kj/kg.

    m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| =  √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| =  √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| =  14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

The answer is d, you can easily test a theory! hope i you : )