JEE Exam  >  JEE Questions  >  At constant volume, 4 mol of an ideal gas whe... Start Learning for Free
At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.
( Answer upto 2 decimal places)
    Correct answer is '6.25'. Can you explain this answer?
    Most Upvoted Answer
    At constant volume, 4 mol of an ideal gas when heated from 300 K to 50...
    Given:
    - Number of moles of the ideal gas, n = 4 mol
    - Initial temperature, T1 = 300 K
    - Final temperature, T2 = 500 K
    - Change in internal energy, ΔU = 5000 J

    Formula:
    The change in internal energy of an ideal gas at constant volume is given by the equation:

    ΔU = nCvΔT

    Where:
    - n is the number of moles of the gas
    - Cv is the molar heat capacity at constant volume
    - ΔT is the change in temperature

    Explanation:
    We need to calculate the molar heat capacity at constant volume (Cv).

    Step 1: Calculate the change in temperature
    ΔT = T2 - T1
    ΔT = 500 K - 300 K
    ΔT = 200 K

    Step 2: Substitute the given values into the equation and solve for Cv
    ΔU = nCvΔT
    5000 J = 4 mol * Cv * 200 K

    Simplify the equation:
    Cv = ΔU / (n * ΔT)
    Cv = 5000 J / (4 mol * 200 K)
    Cv = 6.25 J/mol·K

    Therefore, the molar heat capacity at constant volume is 6.25 J/mol·K.
    Explore Courses for JEE exam

    Similar JEE Doubts

    At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer?
    Question Description
    At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer?.
    Solutions for At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
    Here you can find the meaning of At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer?, a detailed solution for At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer? has been provided alongside types of At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is __________.( Answer upto 2 decimal places)Correct answer is '6.25'. Can you explain this answer? tests, examples and also practice JEE tests.
    Explore Courses for JEE exam

    Top Courses for JEE

    Explore Courses
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev