Question

The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of quantities, choose the correct relation for the filling time in terms of the volume V of the tank (in L) and the discharge rate

Answer 1

Answer:

$V=\dfrac{dV}{dt}.t$

Explanation:

Given that nozzle discharge at constant flow rate.

Volume of tank is V

Lets  constant flow rate =Q

We know that

$Q=\dfrac{dV}{dt}\ L^3/s$

To find the time t,at a volume V

V = Q .t

$V=\dfrac{dV}{dt}.t$

Where t is the filling time of volume .

dV/dt is the volume floe rate .

Q is the discharge.