Question

) devise a temperature scale, abbreviated g, for which the magnitude of the ideal gas constant is 1.00 j g–1 mol–1 .

Answer 1

First, let the temperature T and T* and gas constant as R and R* in kelvin scale and G scale respectively.

Formula for ideal gas is

PV=nRT which is further equal to nR*T* i.e. RT = R*T*

Given value of magnitude of ideal gas constant is 1.00
`JG^(-1)mol^(-1)`

From the formula, T* =
`(R)/(R*)* T` (value of gas constant is
`8.314 JK^(-1)mol^(-1)`

T* =
`(8.314 JK^(-1)mol^(-1))/(1.00 JG^(-1)mol^(-1))* T`

T*=
`8.314* T`

Thus, the temperature scale for which the ideal gas constant is 1.00
`JG^(-1)mol^(-1)` is
`8.314* T`