IIT JAM Exam  >  IIT JAM Questions  >  The following reaction is carried out at 1 at... Start Learning for Free
The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) → 2H2O (l) ΔU
for the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of ΔH. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.
[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]
Correct answer is '= 542.51 kJ'. Can you explain this answer?
Verified Answer
The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g...
ΔH = ΔU + Δng RT Δng = number of gaseous moles of product - number of gaseous moles of reactant
Δng = 0 - 3 Δng = - 3 ΔU = 550 kJ
Δk = 550 kJ + (-3) × 8.314 × 300 = 550 kJ - 90058.314 = 550kJ - 7482.600 = 550 kJ - 7.4826 kJ = 542.51 kJ
View all questions of this test
Most Upvoted Answer
The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g...
Given:

Reaction: 2H2(g) + O2(g) → 2H2O (l)
ΔU for the reaction = 550 kJ
R = 8.314 mol-1 K-1
Volume of 1 mole of liquid water = 18 mL

To Find:

The value of ΔH for the reaction

Explanation:

The enthalpy change (ΔH) for a reaction is related to the internal energy change (ΔU) by the equation:

ΔH = ΔU + PΔV

Where:
ΔH = Enthalpy change
ΔU = Internal energy change
P = Pressure
ΔV = Volume change

In this case, the reaction is carried out at 1 atm, so the pressure is constant. Therefore, the ΔH can be calculated using the equation:

ΔH = ΔU + PΔV

Step 1: Calculate ΔV

The change in volume (ΔV) can be calculated using the ideal gas law:

PV = nRT

Where:
P = Pressure
V = Volume
n = Number of moles
R = Gas constant
T = Temperature

The volume of 1 mole of liquid water is given as 18 mL. Converting it to liters:

Volume of 1 mole of liquid water = 18 mL = 0.018 L

Since 2 moles of H2 reacts to form 2 moles of H2O, the change in moles is 2 moles. Therefore, the change in volume (ΔV) can be calculated as:

ΔV = 2 * 0.018 L = 0.036 L

Step 2: Calculate ΔH

Now, we can substitute the values into the equation:

ΔH = ΔU + PΔV

Since the reaction is carried out at 1 atm, the pressure (P) is 1 atm. The gas constant (R) is given as 8.314 mol-1 K-1.

ΔH = 550 kJ + (1 atm * 0.036 L) * (8.314 mol-1 K-1)

Converting the units to kJ:

ΔH = 550 kJ + (1 atm * 0.036 L) * (8.314 mol-1 K-1) * (0.001 kJ mol-1)

Calculating the value:

ΔH = 550 kJ + 0.029 kJ

ΔH = 550.029 kJ

Rounding to two decimal places:

ΔH ≈ 542.51 kJ

Therefore, the value of ΔH for the reaction is approximately 542.51 kJ.
Explore Courses for IIT JAM exam
The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer?
Question Description
The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer?.
Solutions for The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer?, a detailed solution for The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer? has been provided alongside types of The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The following reaction is carried out at 1 atm and 300 K 2H2(g) + O2(g) 2H2O (l) Ufor the above reaction is 550 kJ. Assuming ideal gas behaviour for H2 and O2, calculate the value of H. The value of gas constant, R = 0.082 L atm mol-1 K-1 = 8.314 mol-1 K-1.[Given: The volume of 1 mole of liquid water is 18 mL under the above reaction condition]Correct answer is '= 542.51 kJ'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
Explore Courses for IIT JAM exam
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