Answer:
The value of rate of decrease of volume = - 3600
Step-by-step explanation:
According to Boyle's law P V = C ------- (1)
Pressure ( P ) = 100 k pa = 10
Volume ( V ) = 900
Put these values in equation ( 1 ) we get,
⇒ C = 10 × 900 = 9000 N-cm = 90 N-m
Differentiate Equation ( 1 ) with respect to time we get,
⇒ V + P
= 0
⇒ V = - P
⇒ = -
---------- (2)
This equation gives the rate of decrease of volume.
Given that Rate of increase of pressure = = 40
C = 90 N-m
P = pa = 10
V = 900
Put all the above values in equation 2 we get,
⇒ = -
× 40
⇒ = - 3600
This is the value of rate of decrease of volume.