° C. Assume that the initial volume of dry ice is negligible and that CO 2 behav

Question

°C. Assume that the initial volume of dry ice is negligible and that CO2behaves like an ideal gas.

36.Enter your answer in the provided box.

A 33.3g quantity of dry ice (solid carbon dioxide) is allowed to sublime (evaporate) in an apparatus like the one shown below. The expansion of a constant external pressure P. The gas is in a cylinder fitted with a weightless movable piston.

Calculate the expansion work done against a constant external pressure of 0.995 atm and at a constant temperature of 25

°C. Assume that the initial volume of dry ice is negligible and that CO2behaves like an ideal gas.

AV

Explanation / Answer

You first need to solve for the volume of the gas version of dry ice.
PV = nRT
V = nRT/P
the molar mass of CO2 = 44.01 g/mol

n = 33.3g / 44.01 g/mol = 0.76 mol

V = (0.76 mol)(0.082 atm L/mol K)(298 K)/(0.995 atm) = 18.66 L

W = -PV = -(0.995 atm)(18.66 L) = -18.57 atm L

1 atm L = 101.32499997084373 J

So -18.57 atm L (101.325 J/atm L) = -1881.60 J

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