J.R. S. answered 05/13/21
Ph.D. University Professor with 10+ years Tutoring Experience
How to use the ideal gas law PV = nRT
Simply fill in the known values and solve for the unknown.
Known:
n = moles = 0.744 g SF6 x 1 mol SF6/146 g = 0.00510 moles (not exactly known but can be calculated)
V = volume = 0.764 L
T = temperature in K = 61 + 273 = 334K
R = gas constant = 62.36 L-torr/Kmol (you could use 0.0821 but the question asks for P in torr)
Unknown:
P = pressure in torr
Solving the ideal gas law for P, we have..
P = nRT/V = (0.00510)(62.36)(334) / 0.764
P = 139 torr (3 sig. figs.)
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If you used R = 0.0821 Latm/Kmol you'd have to later convert the answer to torr as follows:
P = (0.00510)(0.0821)(334) / 0.764 = 0.183 atm
Converting atm to torr we have...
0.183 atm x 760 torr / 1 atm = 139 torr (same answer as above).