(Derivatives) Boyle’s Law states that when a sample of gas is compressed at a constant temperature,?
Boyle’s Law states that when a sample of gas is compressed at a constant temperature, the resulting pressure P of the gas is inversely proportional to its volume V
a) A sample of gas in a container is steadily compressed at constant temperature to a volume of 30
cubic centimeters (cm3), and its resulting pressure is 75 kilopascals (kPa). Find the equation that gives the pressure P of the gas as a function of its volume V .
b) Determine the rate at which the pressure changes when the gas is compressed to 10 cm3.
- Mike GLv 74 years agoBest Answer
a) P = k/V
75 = k/30
k = 2250
P = 2250/V
b) dP/dV = -2250/V^2
dP/dV = -2250/100 = -22.5 kPa/cm^3