Question

In: Chemistry

1. what is the ideal gas law? explain and provide an equation. 2. how do the...

1. what is the ideal gas law? explain and provide an equation.

2. how do the four variables (pressure temperature volume and number of moles ) of a gas relate in the ideal gas law? briefly explain the relationship of gaseous variables as per Boyle's Law Charles law and Avogadro's Law.

Solutions

Expert Solution

Ans. #1. Ideal gas law is the equation of state for correlating the variables Pressure (P), Volume (V), number of moles (n) and absolute temperature (T) of a hypothetical gas

Ideal gas equation: PV = nRT     

            Where, P = pressure in atm

            V = volume in L                   

            n = number of moles

            R = universal gas constant= 0.0821 atm L mol-1K-1

            T = absolute temperature (in K) = (0C + 273.15) K

#2. Boyle’s Law: For a gas at constant temperature confined in a closed vessel, the product of pressure and volume is a constant.

That is,

PV = Constant                     - T, n kept constant

    Or, P1V1 = P2V2                          - T, n kept constant

Avogadro’s Law – Equal volume of all gases have equal number of moles, at constant pressure and temperature.

                        V/ n = constant                   - P, T kept constant

                 Or, V1/ n1 = V2 / n2                   - P, T kept constant

Charles’ Law: Volume (V) of a gas in a closed vessel is directly proportional to absolute temperature (T).

                        V / T = constant                  - P, n kept constant

                 Or, V1 / T1 = V2 / T2                  - P, n kept constant


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