Final answer:
The gas constant (R) value at STP when rounded to the nearest hundredth is 8.31 L⋅kPa/mol⋅K, calculated using the ideal gas law with the given conditions for argon gas.
Step-by-step explanation:
The student is asking for the value of the gas constant (R) rounded to the nearest hundredth when calculated from the conditions of one mole of Ar gas at STP (standard temperature and pressure) which occupies a volume of 22.4 L. When the pressure is measured in kPa and the temperature at STP is 0 °C (273.15 K), we can use the ideal gas law to find R. Using the provided volume of 22.4 L for one mole of gas at 0 °C (273 K), and the given pressure of 101.3 kPa, we can rearrange the ideal gas law equation PV = nRT to solve for R. Given that P = 101.3 kPa, V = 22.4 L, n = 1 mol, and T = 273 K, we can calculate R as follows: R = (P × V) / (n × T) R = (101.3 kPa × 22.4 L) / (1 mol × 273 K) R = 8.3145 L⋅kPa/mol⋅K The gas constant R at STP, rounded to the nearest hundredth, is 8.31 L⋅kPa/mol⋅K.