When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV1.4=C where C is a constant. Suppose that at a certain instant the volume is 320 cm3, and the pressure is 95 kPa (kPa = kiloPascals) and is decreasing at a rate of 11 kPa/minute. At what rate is the volume increasing at this instant?

26.47 cm³/minute

Explanation:

We first differentiate the expression to obtain the rate of change of volume with time dV/dt

Now when V = 320 cm, P = 95 kPa and dP/dt = -11 kPa/minute since it is decreasing.

We substitute these values into the expression for dV/dt. So,

c) up is the direction the magnetic force is acting on the charge.

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.