A saturated solution known to contain 50 g of solute per 100 grams of solvent. If 30 g of the solute is agitated with 100 grams of water, 10 grams are dissolved in 2 hours. (a) Solve the amount solute at any time, t. (b) How much solute will dissolve in 6 hours?

Q: A toy rocket is launched from ground level with the initial velocity of 96 ft./s  How many seconds…

A:

Q: 4. A 105 kg male needs to work at a MET level of 8 to reach his target heart rate. If he exercises…

A:

Q: A tank contains 52 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Please see the answer below

Q: A tank contains 60L of water contaminated with Mercury at a concentration of 0.03 mg/L. Clean water…

A: Here we need to find and then solve the differential equation for the concentration of mercury using…

Q: A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a…

A:

Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

Q: 5) Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If…

A: Note: Rate of change of volume of conical pile is equal to rate of change of sand pouring from the…

Q: Water flows into an empty reservoir at a rate of 1000 + 560t liters per hour (t in hours). What is…

A: We use the formula ,the quantity is given by the integral =integration of (1000+560t)dt from 0 to 4.

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.13 L, replace with water, mix,…

A: As per bertleby guideline I have to solve only first question or first three subparts. So for answer…

Q: A device has a constant failure rate of A= 10-5 failures per hour. (a) What is its reliability for…

A: Failure rate is the frequency with which an engineered system or component fails, expressed in…

Q: A tank contains 57 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

Q: A swimming pool is nearly​ empty, holding only 5100 gallons of water. A system is set up so that the…

A:

Q: A bacterla colony starts with 20 bacterla and grows continuously at a rate of 28% per hour. a. How…

A:

Q: A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a…

A:

Q: If a solid is placed in water, the amount undissolved after t seconds is A(t) Aoe-kt. If 30 grams of…

A: Since, we know that the amount of solid undissolved after t seconds is given by:-A(t)=Aoe-ktAlso, we…

Q: A tank contains 48 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Area of triangle= 12b hb= baseh=height

Q: A swimming pool is nearly​ empty, holding only 5100 gallons of water. A system is set up so that…

A: The number of gallons p in the pool after x hours can be written as: p(x)=5100×1.17x Take the…

Q: 1. A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man's system…

A: Let's find.

Q: A tank contains 45 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: image is attached

Q: A mixer containing 100 gal of Na,SO, solution (4 lbs of Na2SO4 per gal) is attached to a reservoir…

A: According to the given information,

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A: We use half life equation here.

Q: A scuba tank holds 2.6 ㎥ of compressed air. A diver at a shallow depth uses about 0.002 ㎥ per breath…

A: Total compressed air in scuba tank = 2.6 m^3 Compressed air used per breath is 0.002 m^3 Breath…

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: A tank contains total solution 60 gallons Compose of 85% water = 51 gallons And 15% alcohol = 9…

Q: A certain radioactive material is known to decay at a rate proportional to the square root of the…

A: We will find out the required solution.

Q: shrinking

A:

Q: A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a…

A:

Q: The mass of a cube in grams is M = x + 0.1x*, where x is the length of one side in centimeters. If…

A:

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A: To find the initial mass of the sample and mass after 7 weeks after the start.

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

Q: A tank contains 50 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Consider the given information. Let y is the number of gallons of alcohol in the tank with rate of…

Q: Pure water is poured at a rate of 3 m³/min into a tank containing 300 kg of salt dissolved in 100 m³…

A: Initially 300 kg of salt dissolved in 100 m3 of water,Rate of pouring in pure water = 3m3min,Rate of…

Q: A patient's blood is traveling at a rate of 18cm^3/sec while conveying a medicine into the liver and…

A: Given information:  v.in = volumetric flow in the liver  = 18cm3secv.out= volumetric flow out the…

Q: Acar traveling 25 m/s begins to decelerate at a constant rate of 4 m/s2. After how many seconds does…

A:

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Given ,  A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second…

Q: A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.07 L, replace with water, mix,…

A:

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: 1.MC IS FIVE TIMES AS OLD AS JUSTIN. FIVE YEARS AGO, MC WAS TWO TIMES AS OLD AS JUSTIN. THE SUM OF…

A:

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.07 L, replace with water, mix,…

A:

Q: half-life of Palladium-100 is 4 days

A: We have to find out the initial mass and the mass after 6 weeks.

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Topic = application of derivative

Q: A tank contains 54 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Consider the given information. Let y is the number of gallons of alcohol in the tank with rate of…

Q: A 20 m³ tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: The  given problem we can be formulated as  a differential equation and solve.

Q: A woman rows a boat upstream from one point on a river to another point 4 mi away in 1 hours. The…

A: Given that a women rows a boat upstream from one point on a river to another point 4mi away in 112…

Q: A 631-kg elevator starts from rest and moves upward for 3.30 s with constant acceleration until it…

A: Step:-1 Part (A):- Average power = Force (F) × Average Velocity (vavg.) Given that elevator starts…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.