To calculate the volume of hydrogen needed to hydrogenate 50 grams of glycerol trioleate at 1 atm and 25 degrees Celsius, begin with the balanced reaction equation for hydrogenation. Determine the number of moles of glycerol trioleate, which is given as 0.057 moles. Use stoichiometry to find the moles of hydrogen required for complete hydrogenation. Apply the ideal gas law, PV = nRT, using the ideal gas constant of 0.082 to solve for the volume of hydrogen. This method will provide the necessary volume for the reaction under the specified conditions.