Find the function and sketch the graph.

Question

PV=nRT 

 

where p is pressure and v is volume t is temp n is amount of gas r is universal gas constant. Assuming that the amount and the volume of the gas are constant. show that the pressure is a linear function on the temperature. Find the function and sketch the graph.

Answer 1

PV = nRT  ==>  P = (nR/V)*T

 

If n, V and R are all constant then nR/V is equal to some constant K so this can be written as 

 

P = K*T which is a linear function of temperature.  

 

You can't really sketch the graph unless you know what n, V and R are, but since all the values are positive the slope will be positive so the graph will be a straight line rising to the right.  

 

Since P(0) = K*0 = 0 the graph will start at the origin (0,0).