A 0.0447−mol sample of a nutrient substance, with a formula weight of 114 g/mol, is burned in a bomb calorimeter containing 6.19 × 102 g H2O. Given that the fuel value is 6.13 × 10−1 in nutritional Cal when the temperature of the water is increased by 5.05°C, what is the fuel value in kJ in scientific notation?

Respuesta :

Answer:

The value is  [tex]x = 2.565 *10^{3} \ kJ/kg[/tex]

Explanation:

From the question we are told that

  The  no of moles of the sample is  n = 0.0447 mole

  The formula weight is  [tex]M = 114 \ g/mol[/tex]

   The  mass of water is  [tex]m = 6.19 *10^{2}\ g[/tex]

   The amount of the fuel is  [tex]f= 6.13*10^{-1} \ nutritional \ Cal[/tex]

   The temperature rise is  [tex]\Delta T = 5.05^o[/tex]

Generally

      [tex]1 \ nutritional \ Cal => 4.184*10^{3} \ kJ/kg[/tex]

=>  [tex]f= 6.13*10^{-1} \ nutritional \ Cal \to x[/tex]

=>     [tex]x = \frac{6.13 *10^{-1} * 4.184 *10^{3}}{1}[/tex]

=>     [tex]x = 2.565 *10^{3} \ kJ/kg[/tex]