The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 8.0 atm and is increasing at a rate of 0.10 atm/min and V = 10 Land is decreasing at a rate of 0.15 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol.

Q: The pressure, P, (in kilopascals), volume, V, (in cm³), Related rates question: and temperature, T,…

A:

Q: We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: A fund earns interest at a force of interest δt = 0.008t. Sam invests $7,000 at time t = 0. After T…

A: Invested money is P = $ 7000 at time t = 0   After t years the money will be A = $8666.26   The…

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: Let the population of the mosquito at time is P(t). Here, t is time, measured in days   Given that…

Q: 3. An object is thrown vertically upwards with an initial velocity 20 ms ¹. The rate of displacement…

A:

Q: The time variation of the price C of a particular material is described by the equation C = 5t In(t)…

A:

Q: An object at an unknown temperature is placed in a room which is held at a constant temperature of…

A: Let, T denote the temperature of the object at time t. As per the Newton's law of Cooling,…

Q: Let ya(t) and ye(t) be the amount of the pollutant at any time t in Tank A and Tank B, respectively.…

A: first solving for tank A . then we will solve for tank B.

Q: ne model v( E) 2E represents the velocity v (in meters per second) of an object in motion, where E…

A: The velocity of an object v(E) = 2Em the mass of object A = 4 kilograms the given  velocity of an…

Q: The length L of a rectangle is decreasing at a rate of 2 cm/sec while the width is increasing at a…

A: Let L be the length of the rectangle and W be the width of the rectangle. then we have ,…

Q: Under certain conditions, cane sugar with water is converted into dextrose at a rate which is…

A: We need to find out the amount converted un 1.5 hours. in grams,

Q: Reconsider the previous problem of flow in a water reservoir. In order to control the level of water…

A: Given: In order to control the level of water in the reservoir, and avoid overflow that may flood…

Q: At noon, a city park manager starts filling a swimming pool. IfV(t) is the volume of water (in ft3)…

A: Given that a city park manager is filling his swimming pool. Volume of the swimming pool is V=43πr3.…

Q: =) A cup of water with a temperature of 90°C is placed in a room with a constan temperature of 24°…

A: given T=90oC , To=24oC, dT=90-55=35oC , dT=15 min, dTdt=k(T-To)3515=k(90-24)73=66kk=73×66=7198k=7198…

Q: A water tank, in the shape of a cone, has water draining out, where its volume is changing at a rate…

A:

Q: A tank contains 210 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: To find  The rate at which the number of grams of salt in the tank is changing at time t.

Q: a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b)…

A: Solution: