JEE Exam > JEE Questions > At 300 K, a sample of 3.0 g of gas A occupies...
Start Learning for Free
At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)
Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)
Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)
Correct answer is '45'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g...
V1, Volume of 0.2 g H2 at 200 K 
V2, Volume of 3.0 g of gas A at 300
V1 = V2 (Given)
∴ M = 45 g mol-1
V2, Volume of 3.0 g of gas A at 300
V1 = V2 (Given)
∴ M = 45 g mol-1
Free Test
FREE
| Start Free Test |
Community Answer
At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g...
Given:
- Temperature of gas A, TA = 300 K
- Temperature of hydrogen, TH = 200 K
- Mass of gas A, mA = 3.0 g
- Mass of hydrogen, mH = 0.2 g
- Molar mass of hydrogen, MH = 2.0 g/mol
Assumptions:
- The gases behave ideally.
- The pressure is constant.
Key Formula:
The ideal gas equation is given by PV = nRT, where:
- P is the pressure
- V is the volume
- n is the number of moles
- R is the ideal gas constant
- T is the temperature
Approach:
1. Calculate the number of moles of hydrogen using the equation n = m/M, where m is the mass and M is the molar mass.
2. Use the ideal gas equation for hydrogen to find the volume occupied by hydrogen at 200 K.
3. Use the ideal gas equation for gas A to find the number of moles of gas A.
4. Use the equation n = m/M to find the molar mass of gas A.
Calculations:
1. Number of moles of hydrogen:
nH = mH/MH = 0.2 g / 2.0 g/mol = 0.1 mol
2. Volume occupied by hydrogen at 200 K:
PV = nRT
VH = nHRTH/P
= (0.1 mol) * (0.0821 L·atm/(mol·K)) * (200 K) / P
3. Number of moles of gas A:
PV = nRT
nA = PV/RT
= (P * VH * TA) / (P * R * TH)
= VH * (TA / TH)
4. Molar mass of gas A:
nA = mA/MA
MA = mA / nA
= 3.0 g / nA
5. Substitute the value of nA from step 3:
MA = 3.0 g / (VH * (TA / TH))
Final Answer:
After substituting the values, we get:
MA = 3.0 g / (VH * (TA / TH))
= 3.0 g / ((0.1 mol) *
- Temperature of gas A, TA = 300 K
- Temperature of hydrogen, TH = 200 K
- Mass of gas A, mA = 3.0 g
- Mass of hydrogen, mH = 0.2 g
- Molar mass of hydrogen, MH = 2.0 g/mol
Assumptions:
- The gases behave ideally.
- The pressure is constant.
Key Formula:
The ideal gas equation is given by PV = nRT, where:
- P is the pressure
- V is the volume
- n is the number of moles
- R is the ideal gas constant
- T is the temperature
Approach:
1. Calculate the number of moles of hydrogen using the equation n = m/M, where m is the mass and M is the molar mass.
2. Use the ideal gas equation for hydrogen to find the volume occupied by hydrogen at 200 K.
3. Use the ideal gas equation for gas A to find the number of moles of gas A.
4. Use the equation n = m/M to find the molar mass of gas A.
Calculations:
1. Number of moles of hydrogen:
nH = mH/MH = 0.2 g / 2.0 g/mol = 0.1 mol
2. Volume occupied by hydrogen at 200 K:
PV = nRT
VH = nHRTH/P
= (0.1 mol) * (0.0821 L·atm/(mol·K)) * (200 K) / P
3. Number of moles of gas A:
PV = nRT
nA = PV/RT
= (P * VH * TA) / (P * R * TH)
= VH * (TA / TH)
4. Molar mass of gas A:
nA = mA/MA
MA = mA / nA
= 3.0 g / nA
5. Substitute the value of nA from step 3:
MA = 3.0 g / (VH * (TA / TH))
Final Answer:
After substituting the values, we get:
MA = 3.0 g / (VH * (TA / TH))
= 3.0 g / ((0.1 mol) *
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer?
Question Description
At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. 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 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. 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 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer?.
At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. 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 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. 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 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer?.
Solutions for At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. 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 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer?, a detailed solution for At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer? has been provided alongside types of At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol-1. (Nearest integer)Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2) gas is 2.0 g mol-1)Correct answer is '45'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup