Import Question JSON

Current Question (ID: 19704)

Question:

$\text{For a system undergoing an isothermal process, heat energy is supplied to the system. Then,}$ $\text{I. Internal energy will increase.}$ $\text{II. Internal energy will decrease.}$ $\text{III. Work done by the system is positive.}$ $\text{IV. Work done by the system is negative.}$ $\text{V. Internal energy remains constant.}$ $\text{Choose the correct option from the given ones:}$

Options:

1. $\text{(I), (III), and (V) only}$
2. $\text{(II) and (IV) only}$
3. $\text{(III) and (V) only}$
4. $\text{(I), (IV), and (V) only}$

Solution:

$\text{Hint: } \Delta Q = \Delta U + \Delta W$ $\text{Explanation: From the First Law of thermodynamics, we know that;}$ $\Delta Q = \Delta U + \Delta W \quad \cdots (1)$ $\text{For the isothermal process;}$ $\Delta T = 0 \Rightarrow U = \text{constant} \Rightarrow \Delta U = 0$ $\text{Substituting the values in the equation (1) we get;}$ $\Rightarrow \Delta Q = \Delta W$ $\text{As heat is supplied } \Delta W \text{ is positive. Therefore, the work is done by the system and the internal energy remains constant.}$ $\text{Hence, option (3) is the correct answer.}$

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
}