Class JEE Chemistry ALL Q #1188
COMPETENCY BASED
APPLY
4 Marks 2026 JEE Main 2026 (Online) 21st January Morning Shift MCQ SINGLE
Find the change in internal energy of a gas if its temperature changes by 10K. Moles=10, $C_{p}=7 cal K^{-1}mol^{-1}$, $R=2~cal~K^{-1}mol^{-1}$.
(A) $500 cal$
(B) $1000 cal$
(C) $250 cal$
(D) $100 cal$
Prev Next

AI Tutor Explanation

Powered by Gemini

Step-by-Step Solution

**Step 1: Find $C_v$** We know that $C_p - C_v = R$. Therefore, $C_v = C_p - R = 7 - 2 = 5~cal~K^{-1}mol^{-1}$.
**Step 2: Calculate the change in internal energy ($\Delta U$)** The change in internal energy is given by $\Delta U = n C_v \Delta T$, where $n$ is the number of moles and $\Delta T$ is the change in temperature. $\Delta U = 10 \times 5 \times 10 = 500~cal$.

Correct Answer: $500 cal$

|
AI Suggestion: Option A

AI generated content. Review strictly for academic accuracy.

Pedagogical Audit
Bloom's Analysis: This is an APPLY question because the student needs to apply the formula relating $C_p$, $C_v$, and the change in temperature to calculate the change in internal energy.
Knowledge Dimension: PROCEDURAL
Justification: The question requires the student to follow a specific procedure or algorithm to arrive at the solution, involving the application of a formula and the correct substitution of values.
Syllabus Audit: In the context of JEE, this is classified as COMPETENCY. The question assesses the student's ability to apply thermodynamic principles to solve a numerical problem, which goes beyond simple recall of definitions and formulas.

More from this Chapter

MCQ_SINGLE
$XF_{3}$ (Lewis Acid), $YF_{3}$ (Lewis Base) . Hybridisation of $XF_{3}$, $YF_{3}$ respectively are :
MCQ_SINGLE
Which of the following is the correct order of the reactivity of given nucleophiles when treated with $CH_{3}$ in methanol? $F^{-}$, $I^{-}$, $C_{2}H_{5}O^{-}$, $C_{6}H_{5}O^{-}$ :
MCQ_SINGLE
Match the following and choose the correct option : \begin{tabular}{|l|l|} \hline List-1 & List-II \\ \hline (A) $[Ag(NH_{3})_{2}]^{+}$ & (i) Fehling's solution \\ \hline (B) $Zn-Hg/HCl$ & (ii) Clemmenson's reduction \\ \hline (C) $NH_{2}-NH_{2}/KOH$ & (iii) Tollen's reagent \\ \hline (D) $Cu^{2+}/OH^{-}$ & (iv) Wolff-Kishner reduction \\ \hline \end{tabular}
NUMERICAL
The $3d$-block element which does not liberate hydrogen gas on reaction with dilute $HCl$ is .
MCQ_SINGLE
Which of the following is the correct order with respect to the property indicated?
View All Questions