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Calculate the number of moles of hydrogen gas present in a 0.5 dm3 sample of hydrogen gas at a pressure of 101.325 kPa at 27 °C.

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Given: V = 0.5 dm3 = 0.5 × 10-3 m3, P = 101.325 kPa = 101.325 × 103 Pa = 101.325 × 103 Nm-2
T = 27 °C = 27 + 273.15 K = 300.15 K, R = 8.314 J K-1 mol-1
To find: n = number of moles of gas
Formula: PV = nRT
Calculation: According to ideal gas equation,
\(n=\frac{PV}{RT}=\frac{101.325\times10^3\times0.5\times10^{-3}}{8.314\times300.15}=0.020 mol\)
Ans: The number of moles of hydrogen gas present in the given volume is 0.020 moles.

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