A fixed-volume vessel of contains of an ideal gas

CHEMISTRY · Single correct · A Level · Chemistry · Amount of substance · Amount of substance

Problem

A fixed-volume vessel of 8.00×10−3 m38.00\times10^{-3}\,\text{m}^3 contains 0.0400 mol0.0400\,\text{mol} of an ideal gas. The pressure of the gas is measured at four temperatures as shown. Temperature (K): 260, 290, 320, 350 Pressure (kPa): 98.0, 99.2, 100.5, 101.7 Treating the data as linear, determine the experimental value of the universal gas constant. (a) 8.7 J mol−1 K−18.7\,\text{J\,mol}^{-1}\,\text{K}^{-1} (b) 9.3 J mol−1 K−19.3\,\text{J\,mol}^{-1}\,\text{K}^{-1} (c) 8.2 J mol−1 K−18.2\,\text{J\,mol}^{-1}\,\text{K}^{-1} (d) 8.0 J mol−1 K−18.0\,\text{J\,mol}^{-1}\,\text{K}^{-1}

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