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Test: Kinetic Energy and Molecular Velocities - Chemistry MCQ


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10 Questions MCQ Test - Test: Kinetic Energy and Molecular Velocities

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Test: Kinetic Energy and Molecular Velocities - Question 1

What is the ratio of urms to ump in oxygen gas at 298k?

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 1

The ratio of root mean square speed, represented as urms to the most probable speed, represented as ump is always the same for identical conditions and same gas. It is
 

Test: Kinetic Energy and Molecular Velocities - Question 2

What is the ratio of root mean square speed of 16 grams of Oxygen to 4 grams of hydrogen?

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 2



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Test: Kinetic Energy and Molecular Velocities - Question 3

If the root mean square speed of an argon gas atom at temperature T is equal to the average speed of a helium gas atom at -20 °C, then T will be:

Given:- atomic mass of Ar = 39.9 u

Atomic mass of He = 4.0 u

Test: Kinetic Energy and Molecular Velocities - Question 4

What is the ratio of the rms velocities of 2 moles of hydrogen to five moles of helium?

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 4

 

Test: Kinetic Energy and Molecular Velocities - Question 5

Calculate the root mean square speed of hydrogen in m/s at 27°C?

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 5

 The formula of root mean square speed is given by urms =We have R = 8.314 kgm2/s2, M = 10-3 kg/mol and T = 300 k. So by substituting the formula we get, urms =

Test: Kinetic Energy and Molecular Velocities - Question 6

The speed of three particles is recorded as 3 m/s, 4 m/s, and 5 m/s. What is a root mean square speed of these particles?

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 6

The root means square speed of particles is nothing but the square root over the sum of squares of the particle’s speeds by a total number of particles. So by substituting, √32 + 42 + 52/3 = 4.082 m/s.

Test: Kinetic Energy and Molecular Velocities - Question 7

Which of the following is greater for identical conditions and the same gas?

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 7

According to the formula, the root mean square speed is greater than the average speed and the average speed is greater than the most probable speed at given identical conditions and for the same gas.

Test: Kinetic Energy and Molecular Velocities - Question 8

Which among the following options do you think has the highest average speed?

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 8

The formula of average speed is given bywhere R is universal gas constant, T is a temperature in Kelvin and M is the mass in kilograms. From the formula, we understand that the average speed is inversely proportional to the root over the mass. As hydrogen has the least mass among the options it has the highest average speed.

Test: Kinetic Energy and Molecular Velocities - Question 9

According to kinetic theory of gases , the root mean square velocity is directly proportional to:

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 9

Test: Kinetic Energy and Molecular Velocities - Question 10

The root mean square speed of a gas at a certain condition is 1.128 times greater than the most probable speed.

Detailed Solution for Test: Kinetic Energy and Molecular Velocities - Question 10

The ratio of root mean square speed to the mean probable speed is 1.224. So the above statement is considered to be wrong. The ratio between the main probable speed and the average speed and root mean square speed is 1 : 1.128 : 1.224.

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