A large tank is partally filled with a 100 gallon of water in which 137pounds of salt is dissolved initially.brine counting ½ pound of salt per gallon is pumped into the tank at a rate of 6 gallon per minutethe solution kept uniform by stirring is pumped out at a slower rate of 4 gallon per minute find the number of pound of salt in tank at 137 time t.

Q: A tank contains 90 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped…

A: Given that a tank contains 90 liters of fluid which has 40 grams of salt. If pure water is added to…

Q: A projectile is launched from ground level with an initial velocity of vo feet per second.…

A:

Q: A 600 litre tank initially contains 200 litres of water in which 10 grams of salt are dissolved.…

A:

Q: 3. A tank initially contains 210 litres of fresh water. Brine containing 2.6 N/litre of dissolve…

A:

Q: A tank initially contains 60 gal of pure water. Brine containing 1 lb of salt per gallon enters the…

A:

Q: A heated object is allowed to cool in a room which has a constant temperature of 20°C. It cools from…

A:

Q: In a metal tank, 22.68 Kg of salt were dissolved initially in the 300 liters. Salt was entering and…

A:

Q: oil

A: We will find how much oil is left in the rank after 3 hours.

Q: In the tank of 100 liters of brine containing 50kg totally dissolved salt. Pure water is allowed to…

A: Let y(t) be the amount of salt dissolved in the tank in kilograms after t minutes. Initially amount…

Q: A tank initially contains 80 gal of pure water. Brine containing 4 lb of salt per gallon enters the…

A: Given: A tank initially contains 80 gal of pure water. Brine containing 4 lb of salt per gallon…

Q: A tank contains 100 L of salt water with a concentration of 2 g/L. To flush the salt out, pure water…

A: We can solve this this using formulas

Q: A tank initially contains 200 liters of fresh water, Brine containing 2.5 N/liter of dissolved salt…

A:

Q: When cane sugar is dissolved in water, it converts to invert sugar overa period of several hours.…

A: The amount A(t) of unconverted cane sugar at time t (in hours) satisfies A' = -0.2A Initially 500 g…

Q: A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt. A brine…

A:

Q: 5:52. The number of bacteria in a certain culture was found to be 4 x 10° at noon of one day. At…

A:

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: A large tank holds (400) gallons of brine solution with (50) pounds Q5: of salt. A concentration of…

A:

Q: It takes pump A 3 hours less time than pump B to empty a swimming pool. Pump A is started at 8:00 am…

A: Explained below

Q: A square shaped tank with sides of length 1 m and height 6 m is full of water. The water is being…

A: Here a square shaped tank is draining, so only the height of the tank is changing. We know that…

Q: a population of bacteria originates with 2500 bacteria. After a harmful substance is introduced into…

A: Initial population of bacteria= 2500 The rate of decline of the bacteria population= 10% Also,…

Q: Qingshan runs at an average rate of 5.9 mph for 2.7 hours every morning. If he burns 43.5 kJ/min,…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: A rock falls from a tower that is 208 feet high. As it is falling, its height is given by the…

A:

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A:

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: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: At a bakery two people can frost a total of 50 cupcakes in 12 minutes. Assume that all people work…

A: It is given that two people frost 50 cupcakes in 12 minutes. Since the work rate of all the people…

Q: A tank contains 200L of fluid in which 30grams of salt are dissolved. Brine containing 1 gram of…

A:

Q: A tank contains 240 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A:

Q: A solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 50 L of…

A: We have, dxtdt=0.3 kg/min - 0.12 xt kg/min⇒dxtdt+ 0.12xt=0.3        ...i Calculating for P(t) and…

Q: A large tank initially contains 50 gallons of brine in which there is dissolved 10 lb of salt. Brine…

A:

Q: A large tank initially contains 150 gallons of fluid, with 6 pounds of salt dissolved in it. Brine…

A: Here we will solve salt present after 45 min,

Q: 4. Julie is walking around a track at a 2m's for some exercise. She then decides to start jogging so…

A: The distance travelled (s) is given by the formula s=u·t+12a·t2 where u, a, and t represent the…

Q: A tank initially holds 80 gal of a brine solution containing - Ib of salt per gallon. At t = 0,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A dirty lake was contaminated by a toxic substance. The lake has a volume of 1.2M liters of water…

A: The given information is: Total volume of water contained in the lake = 1.2M=12,00,000 Amount of…

Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 5 pounds of salt…

A: As per question,dAdt=Rin - RoutRin=concentration of salt in flow ×input rate of brine      =5 lb/gal…

Q: A tank contains 300 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: A tank initially holds 80 gal of a brine solution containing - Ib of salt per gallon. At t = = 0,…

A: Since you posted a question with multiple parts, we will solve the first three subparts for you. To…

Q: A projectile is launched from ground level with an initial velocity of vo feet per second.…

A:

Q: In the tank of 100 liters of brine containing 55kg totally dissolved salt. Pure water is allowed to…

A: Suppose that the amount of salt in the mixture be Q. The volume of mixture at time t will be as…

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: s= -16 t 2 +80 t

A: We have to find a time interval such that s≥64. Now s≥64⇒-16t2+80t…

Q: A tank contains 200 liters of fluid in which 30 grams of saltis dissolved. Brine containing 1 gram…

A:

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: Given :  The quantity of the water in the tank is 240 liters in which 50 grams of salt is dissolved.…

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A:

Q: 6. In a tank there are 1000 gal of water with a concentration of 1 lb per gallon of pollutant. Water…

A: Rate of change of pollutant in the mixture = dp/dt

Q: A bacterial population starts with 500 bacteria and grows at a rate of r(t) = (450.262)e1.12567t…

A: Given, Bacterial population starts with 500 bacteria i.e initialy there are 500 bacteria. and growth…

Q: A partially filled tank with 100 gallons of water in which there are 10 pounds of dissolved salt. a…

A:

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 tank initially holds 80 gal of a brine solution containing 8/1 lb of salt per gallon. At t = 0,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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.