Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 900 cm3, the pressure is 200 kPa, and the pressure is increasing at a rate of 20 kPa/min. At what rate is the volume decreasing at this instant?

-90cm³/min

Explanation:

The equation is:

 (1)

Where P: is the pressure, V: is the volume, and C: is a constant.

To find the rate at which the volume decrease, we need to derivate equation (1):

  (2)

From equation (2) we have:

P = 200 kPa

V = 900 cm³

Hence, by entering the values above in equation (2), we have:

Therefore, the rate at which the volume is decreasing is -90cm³/min.

I hope it helps you!        

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles