Q4 of 31 Page 90

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (Fig. 13.2). If the temperature is increased,


Here the total pressure, P is



where, P0 is the atmospheric pressure, Mg is the weight of the piston and A is the area of cross-section of the piston. Here total pressure remains constant as P0, weight and area of the piston is constant.


By ideal gas equation,


where P, V and T are the pressure, volume and absolute temperature; n is the number of moles of gas; R is the ideal gas constant. When pressure is constant and temperature is increased there will be a change in the volume .i.e. V will change but not p

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Volume versus temperature graphs for a given mass of an ideal gas are shown in Fig. 13.3 at two different values of constant pressure. What can be inferred about relation between P1 & P2?


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