The figureonthe left shows a constant volume gas thermometer. The pressuregaugereads absolute pressure P and the metal ball has a fixedvolume V.Measurements were performed with n moles of an ideal gasin thedevice, the graph shows some of the results (points) andthestraight line that is expected from the ideal gas law.
a)According tothe ideal gas law, at which temperature is thepressure equal tozero?
b)According tothe ideal gas law, what is the slope of the straightlinerepresenting the pressure as a function of temperature?
c) Assumenowthat the device contains only n/2 moles of the gas and drawthecorresponding straight line representing the pressure intothegraph.
d) If V1is theaverage (root mean square) speed of gas molecules at T1, andV1, isthe average speed of gas molecules at T2=2T1 calculate theratioV1/V2.
The figureonthe left shows a constant volume gas thermometer. The pressuregaugereads absolute pressure P and the metal ball has a fixedvolume V.Measurements were performed with n moles of an ideal gasin thedevice, the graph shows some of the results (points) andthestraight line that is expected from the ideal gas law.
a)According tothe ideal gas law, at which temperature is thepressure equal tozero?
b)According tothe ideal gas law, what is the slope of the straightlinerepresenting the pressure as a function of temperature?
c) Assumenowthat the device contains only n/2 moles of the gas and drawthecorresponding straight line representing the pressure intothegraph.
d) If V1is theaverage (root mean square) speed of gas molecules at T1, andV1, isthe average speed of gas molecules at T2=2T1 calculate theratioV1/V2.