The pressure P, temperature T, and volume V of one mole of an ideal gas are related by the equation PV = 8.31T, when P is measured in kilopascals, T is measured in kelvins, and V is measured in liters.
a. Assume that P = 242.52 ± 0.03 kPa and V = 10.103 ± 0.002 L. Estimate T, and find the uncertainty in the estimate.
b. Assume that P = 242.52 ± 0.03 kPa and T = 290.11 ± 0.02 K. Estimate V, and find the uncertainty in the estimate.
c. Assume that V = 10.103 ± 0.002 L and T = 290.11 ± 0.02 K. Estimate P, and find the uncertainty in the estimate.
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