Question

Scientists often test how one property (like volume or pressure) depends on another by graphing one property against a mathematical function of the other property. If a linear graph of the data results, the function is probably valid. A linear graph like the one shown would properly describe the relationship between what functions of P, V, n, and T? List all the possible relationships. (Hint: example functions of V might be V, V2 , 1/V, etc.)

Answer 1

The gas law equation can be written as

PV= nRT, where n= no of moles, R= gas constant, T is temperature in K, P is pressrue and T is temperature

when n and T are constant

PV= constant

or P =constant/V

so a plot of P vs 1/V gives straight line ( This is Boyle's law)

at constant pressure and temperature and the gas law becomes

V= nRT/P or V =constant*n

so a plot of V vs n gives straight line whose slope is n ( Tihs is Avagadro's law)

at constant pressure for a given mass of gas

V= nRT/P = constant* T

so a plot of V vs T ( temperature has to be inK) gives   a straight line whose slope is constant. ( Charles law).