Can the amount of moles of a gas be related to the pressure volume and temperature of the sample

            Yes! The amount of moles of a gas can be related to the pressure, volume and temperature of the sample.

Explanation:
                     According to Ideal Gas Equation,

                                                  P V  =  n R T

Solving this equation for moles,
             
                                                  n  =  P V / R T

According to this equation, the amount of moles is directly proportional to the pressure. Greater the amount of moles greater will be the pressure of gas at constant volume and temperature.

                                                   n  ∞  P
Or,
                                                   n  =  k P

                                                   k  =  n / P
Or,
                                           n₁ / P₁  =  n₂ / P₂

as the number of particles increases with increase in moles, therefore the rate of collisions of molecules with the walls of the container also increases, hence, will apply more pressure.

Also, the amount of moles of a gas is directly proportional to the volume at constant pressure and temperature.

                                                   n  ∞  V
Or,
                                                   n  =  k V

                                                   k  =  n / V
Or,
                                            n₁ / V₁  =  n₂ / V₂

Whereas, Temperature is related to moles as,

                                             V / n  =  R T / P

With increase in temperature, the volume of given moles of gas increases.

The formula is (nh4)2co3