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Useful Constants: 1 Torr = 133.32 Pa; R = 8.3145 J/mol·K You have a thin metal sphere of unknown volume that contains helium gas at low pressure. You put the entire metal sphere into a bath of liquid nitrogen, and a pressure gauge on the sphere indicates a pressure of 301 torr.

a) You now place the metal sphere in a mixture of dry ice and methanol. What is the new pressure? torr

b) You now place the metal sphere in ice water. What is the new pressure? torr

c) You now place the metal sphere in a water bath at room temperature (measured to be 25.6 °C). What is the new pressure? torr

d) You now place the metal sphere in boiling water. What is the new pressure? torr

e) Given that the volume of the metal sphere, pressure gauge, etc., was 341 mL, how many moles of helium gas would you have? mol

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