a) Which gas exerts the greater force on the piston? Ideal gas 1 or ideal gas 2?

Question

a) Which gas exerts the greater force on the piston? Ideal gas 1 or ideal gas 2?
b) Which gas exerts the greater pressure on the piston? Ideal gas 1 or ideal gas 2?
c) Which gas has the larger temperature? Ideal gas 1 or ideal gas 2? Give a brief explanation.
d) Use the ideal gas law to find an expression for the temperature in terms of the spring constant k, the displacement X, the number of moles n, and the ideal gas constant R
Hint: Express the volume of the gas in terms of the displacement X and the area A of the piston; express the pressure of the gas in terms of the spring constant k, the displacement X and the area A of the piston.

Explanation / Answer

Force on the spring is F = kx Pressure is P = F/A (a) Since x2 > x1 the ideal gas2 exert force pressure than ideal gas1 (b) Since x2 > x1 the ideal gas2 exert greater pressure than ideal gas1 (c) Since the temperature inversly praportional to the volume,      temperature of the ideal gas1 is greater than the ideal gas2 (d) The volume of the gas is V = AX       Spring force is F = kx       Pressure is P = F /A       From ideal gas equation              PV = nRT        (F/A)(AX) = n RT                   T = FX / nR                       = k X2 / nR      (b) Since x2 > x1 the ideal gas2 exert greater pressure than ideal gas1 (c) Since the temperature inversly praportional to the volume,      temperature of the ideal gas1 is greater than the ideal gas2 (d) The volume of the gas is V = AX       Spring force is F = kx       Pressure is P = F /A       From ideal gas equation              PV = nRT        (F/A)(AX) = n RT                   T = FX / nR                       = k X2 / nR     

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