Import Question JSON

Current Question (ID: 21049)

Question:

$\text{An athlete is given 100 g of glucose energy equivalent to 1560 kJ to utilize 50 \% of this gained energy in an event. Enthalpy of evaporation of } \text{H}_2\text{O} \text{ is 44 kJ/mol. In order to avoid storage of energy in the body the mass of water (in g) he would perspire is: (Round off to the nearest Integer)}$

Options:

1. $325 \text{ g}$
2. $319 \text{ g}$
3. $298 \text{ g}$
4. $345 \text{ g}$

Solution:

$\text{Hint: 50\% of 1560 kJ that is 780 kJ is used to perspire water}$ $\text{Step 1:}$ $\text{100 g of glucose produces 1560 kJ of energy.}$ $\text{50\% of 1560 kJ that is 780 kJ is used to perspire water}$ $\text{To perspire 1 mol of water that is 18 g of water 44 kJ energy is required}$ $\text{Step 2:}$ $\text{Therefore, Moles of water evaporated = } \frac{780}{44} \text{ mol}$ $\text{Weight of water evaporated = } \frac{780}{44} \times 18 = 319 \text{ g}$ $\text{(Assuming water is contained in the body)}$ $\text{Thus, option second is the correct answer.}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}