0 votes
43 views
in ThermoChemistry by (390 points)
A student wants to determine the enthalpy of combustion of octane. They measured the temperature change of 200 mL of water in a calorimeter when 1.50 grams of octane was burned completely. The initial temperature of the water was 25.0 °C and it reached a maximum of 45.0 °C. What is the enthalpy of combustion of octane?

1 Answer

0 votes
by (390 points)
To determine the enthalpy of combustion of octane, we first need to calculate the heat absorbed by the water in the calorimeter. We can do this using the formula:q = mcTwhere q is the heat absorbed, m is the mass of the water, c is the specific heat capacity of water, and T is the change in temperature.Given:Mass of water  m  = 200 mL  assuming the density of water is 1 g/mL, this is equivalent to 200 g Specific heat capacity of water  c  = 4.18 J/gCInitial temperature  T_initial  = 25.0 CFinal temperature  T_final  = 45.0 CFirst, we calculate the change in temperature  T :T = T_final - T_initial = 45.0 C - 25.0 C = 20.0 CNow, we can calculate the heat absorbed by the water  q :q = mcT =  200 g  4.18 J/gC  20.0 C  = 16720 JNext, we need to determine the moles of octane burned. The molecular weight of octane  C8H18  is: 12.01 g/mol x 8  +  1.01 g/mol x 18  = 114.23 g/molGiven that 1.50 grams of octane was burned, we can calculate the moles of octane:moles of octane = 1.50 g / 114.23 g/mol = 0.0131 molNow, we can calculate the enthalpy of combustion of octane  H_combustion  per mole:H_combustion = -q / moles of octane = -16720 J / 0.0131 mol = -1274800 J/molThe enthalpy of combustion of octane is approximately -1,274,800 J/mol.

Related questions

Welcome to Sarvan Science Q&A, where you can ask questions and receive answers from other members of the community.
...