Answer:
The pressure is changing at
Step-by-step explanation:
Suppose we have two quantities, which are connected to each other and both changing with time. A related rate problem is a problem in which we know the rate of change of one of the quantities and want to find the rate of change of the other quantity.
We know that the volume is decreasing at the rate of and we want to find at what rate is the pressure changing.
The equation that model this situation is
Differentiate both sides with respect to time t.
The Product rule tells us how to differentiate expressions that are the product of two other, more basic, expressions:
Apply this rule to our expression we get
Solve for
when P = 23 kg/cm2, V = 35 cm3, and this becomes
The pressure is changing at .