A sample of nitrogen gas is heated to 100°C, at a pressure of 10kPa and volume of 0.2m^3. How many moles of gas are present?

In order to answer this question, the equation: PV=nRT must be used.P is pressure, V is volume, n is moles, R is the gas constant and T is temperature. Firstly the units in the question must be converted to SI units so they give the correct answer in the equation. Volume is correct in m^3, so this can be left. Temperature must be converted to kelvin by doing 273 + 100 = 373 K. 10 KPa must be converted into Pa by multiplying 10 by 1000, to give 10,000 K. The gas constant is 8.314 JK^-1mol^-1. PV=nRT can be rearranged to n=PV/RT. The new values can then be substituted into the equation, n=(10,000 Pa x 0.2 m^3)/(8.314 JK^-1mol^-1 x 373 K)= 0.645 moles of nitrogen gas.