maths urgent please

posted by .

A vessel is being filled at a variable and the volume of liquid in the vessel at any time t is given by V = A( 1- e^-kt) V

a) Show that dV/dt = k(A-V)

b) if one quarter of the vessel is filled in 5 minutes, what fraction is filled in the next 5 minutes?

c) show that lim (x-> infinite) = A.

Thank you!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Chemistry

    The capacity of a large irregularly shaped vessel cannot be computed from geometric data. As a result, it is decided that the volume be established from analytical data. The vessel is filled to its capacity mark with calcium-free water. …
  2. physics

    when a transparent vessel is is filled with water and a jet flows out of the vessel with a light source placed so that a horizontal beam enters the liquid jet. Under what conditions does the jet operate like a light candle?

    The pressure at the bottom of a vessel filled with liquid does not depend on: a- the acceleration of gravity b- the liquid density c- the height of the liquid d- the area of the liquid surface
  4. Chemistry

    A 225 g sample of xenon is placed in a 15.6 L stainless steel vessel at 27.0°C. a. What is the pressure in the vessel?
  5. physics

    liquid pressure is independent on the? a. shape of the containing vessel b. area of the bottom of the containing vessel c. both a and b and d d. height of the containing vessel
  6. Chemistry

    A 1.00 L vessel contains 5 g N2 and 1.5 g H2O at 25 degrees C. Calculate the mass of LIQUID water that would be present in the vessel.
  7. chem

    A liquid that has an equilibrium vapor pressure of 129 torr at 25°C is placed into a 1-L vessel like that shown below. A few mL of the liquid is introduced into the vessel at 25°C while it has a pressure of 1.00 atm of air in it, …
  8. physics

    to what height should a cylindrical vessel of diameter d be filled with a liquid so that due to force on the verticle surface of the vessel be equal to the force on the bottom
  9. Physics

    Imagine a vessel containing 2.000 kg of liquid whose specific heat equals 1.50 kcal/kg/°c. Suposse that all of the liquid exists at its vaporization temperature of 450 k. We transfer 150 cal of heat energy to the liquid. What is the …
  10. maths-need help asap

    how many litres of kerosine can be held by a cylindrical 21cm deep?

More Similar Questions