Boyle’s law is applicable only when mass and temperature are made variable.
(A) True
(B) False
Answer
530.1k+ views
Hint: Boyle’s Law is a gaseous law that describes how Pressure and Volume are related to each other. It tells how pressure varies with temperature, if we increase the pressure of a gas on a container how its volume tends to decrease. Boyle’s law states that the pressure exerted by an ideal gas of a given mass at constant temperature is inversely proportional to the volume of the gas.
Complete answer:
Let’s see the relation:
$ P\;\alpha \;\dfrac{1}{V} $
$ PV = {\text{k}} $
where $ {\text{P}} $ is the absolute pressure of an ideal gas of given mass at constant temperature and $ {\text{V}} $ is the volume, and $ {\text{k}} $ is any constant.
Now according to Boyle’s law any change in pressure exerted by the ideal gas will change the volume of the gas. so, the product of initial pressure and initial volume should be equal to the product of final pressure and final volume.
$ {{\text{P}}_1}{\text{V}}{}_1^{}\; = \;{{\text{P}}_2}{\text{V}}{}_2^{} $
where $ {{\text{P}}_1} $ is the initial pressure of the ideal gas, $ {{\text{V}}_1} $ is the initial volume of the ideal gas, $ {{\text{P}}_2} $ is the final pressure of the ideal gas, and $ {{\text{V}}_2} $ is the final volume of the ideal gas. This equation can be used to predict the change in the pressure exerted by an ideal gas on the wall of its container when its volume is changed and its mass and temperature remains constant.
Note:
A real life example of Boyle’s Law can be seen in scuba diver’s if a scuba diver swims quickly upwards to the surface of the water the decrease in pressure can cause the gas molecules to expand in the diver’s body. It can cause severe damage to the organs of the body and can be fatal.
Complete answer:
Let’s see the relation:
$ P\;\alpha \;\dfrac{1}{V} $
$ PV = {\text{k}} $
where $ {\text{P}} $ is the absolute pressure of an ideal gas of given mass at constant temperature and $ {\text{V}} $ is the volume, and $ {\text{k}} $ is any constant.
Now according to Boyle’s law any change in pressure exerted by the ideal gas will change the volume of the gas. so, the product of initial pressure and initial volume should be equal to the product of final pressure and final volume.
$ {{\text{P}}_1}{\text{V}}{}_1^{}\; = \;{{\text{P}}_2}{\text{V}}{}_2^{} $
where $ {{\text{P}}_1} $ is the initial pressure of the ideal gas, $ {{\text{V}}_1} $ is the initial volume of the ideal gas, $ {{\text{P}}_2} $ is the final pressure of the ideal gas, and $ {{\text{V}}_2} $ is the final volume of the ideal gas. This equation can be used to predict the change in the pressure exerted by an ideal gas on the wall of its container when its volume is changed and its mass and temperature remains constant.
Note:
A real life example of Boyle’s Law can be seen in scuba diver’s if a scuba diver swims quickly upwards to the surface of the water the decrease in pressure can cause the gas molecules to expand in the diver’s body. It can cause severe damage to the organs of the body and can be fatal.
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