1. Calculate the pressure in pascals exerted on a tabletop by a cube of iron tha

Question

1. Calculate the pressure in pascals exerted on a tabletop by a cube of iron that is 3.60 centimeters on each side and has a mass of 367 grams.  Answer is needed in Pa.

2. Calculate the root-mean-square of helium at 3.70 x 10^2 K in meters per second, and compare your result with the root-mean-square speed of nitrogen at the same temperature.  Answer is needed in m/s.

Use the van der Waals equation and the ideal gas equation to calculate the pressure of 5.00 mol He gas in a 1 L container at 300 K.  ideal gas law pressure and van der Waals pressure are needed in atm.

Explanation / Answer

1) pressure=F/A=(0.367)*9.8/(0.0360)^3=7.7*10^4 pascal

2)rms of helium=sqrt(3RT/M) =sqrt(3*0.0821*370/4)=4.77m/s

rms of helium/rms of nitrogen=sqrt(M of nitrigen/M of helium)

=sqrt(14/4)=1.87

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