Solve all please.

a P1: (30 pts) A 92 gpm!!) industrial discharge into a stream contains a critical pollutant at a concentration of 450 mg/L (3). The stream flow rate above the discharge is 25.7 cfs (2) and the stream already contains the pollutant, at a concentration of 10 mg/L. What is the pollutant concentration (in mg/L) downstream of the discharge, when the pollutant has been well mixed into the stream? P2: (30 pts) A sweet syrup has a density of 1.33 kg/L and a 36.5% sugar content (mass basis). If 15.0 mL of this syrup is added to hot water, and the total mixture volume is brought to exactly 455 mL, what is the sugar concentration of the mixture (g/L)? P3: (30 pts) A 3-KW heating element on a stovetop transfers 72% of its rated output to 3.6 L of water in a pot (the rest goes into the pot itself, or is lost to inefficiency etc). Assuming the water has an initial temperature of 20 C, and that additional heat losses to the kitchen average 12% of the energy delivered, how long will it take for the water to reach 99 C? Report your answer in seconds. P4: (30 pts) If a microwave oven is designed to allow a user to heat 750-mL of water from 25 to 99 C in 60 seconds, what must the minimum rated power be (W). P5: (50 pts) A backcountry touring cyclist (108 kg total mass of rider, bike, and other equipment) descends a steep mountain trail, using the brakes heavily all the way down. The total elevation change is 88.5 m, and 39% of the initial gravitational potential energy is converted into stored thermal energy in the 660-g (total mass) steel brake discs. What temperature rise is expected in the discs (degrees C)