Question

In: Physics

The volume of an ideal gas is held constant. Determine the ratio P2/P1 of the final...

The volume of an ideal gas is held constant. Determine the ratio P2/P1 of the final pressure to the initial pressure when the temperature of the gas rises (a) from 51 to 102 K and (b) from 23.7 to 64.4 oC. (a) P2/P1 = Number Units (b) P2/P1 = Number Units

Solutions

Expert Solution

The ideal gas equation is

                              

Where P is pressure, V is volume, T is temperature, n is number of moles of the gas, and R is universal gas constant.

If the volume is held constant, then we can write the equation as

                                     

                            or,    

(a) in this case, T2 = 105 K and T1 =51 K. So,

                                      

(b) in this case, T2 = 64.4+273.15 =337.55 K and T1 = 23.7+273.15= 296.85 K. So,

                                      


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