Home Physics JEE Main Full Syllabus Mock Test 75 Question New Syllabus TEST 4 PCM Two balloons are filled, one with pure heliu…
Physics JEE Main Full Syllabus Mock Test 75 Question New Syllabus TEST 4 PCM MCQ (Single Correct)

Two balloons are filled, one with pure helium gas and the other by air, respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume is

A
more in the helium filled balloon
B
same in both balloons
C
more in air filled balloon
D
None of the above

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Text Solution

Verified by Experts
The correct answer is:
B

Ideal gas equation can be written as

(i)

In this equation,

number of moles of the gas,

pressure of the gas,

volume of the gas,

universal gas constant

and temperature of the gas

From Eq. (i), we have

Hence, from above expression, if the pressure and temperature of ballons are same, then the number of molecules per unit volume is same in both the balloons.

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