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a) In an attempt to determine an accurate value of the gas constant, R, a student heated a container of volume 20.000 dm3 filled with 0.251 32 g of helium gas to 500°C and measured the pressure as 206.402 cm of water in a manometer at 25°C. Calculate the value of R from these data. (The density of water at 25°C is 0.997 07 g cm-3;

(b) The following data have been obtained for oxygen gas at 273.15 K. Calculate the best value of the gas constant R from them and the best value of the molar mass of O2.

p/atm

0.750 000

0.500 000

0.250 000

Vm/(dm3 mol-1)

29.9649

44.8090

89.6384

?/(g dm-3)

1.07144

0.714110

0.356975

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