Kinetic Theory Test

Result

Kinetic Theory Test - 87

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Weekly Quiz Competition

Question 1
1 / -0

One mole of gas ''A'' and 2 moles of S$${ O }_{ 2 }$$ are placed in a container,gaseous can be:

A
$${ H }_{ 2 }$$

B
$$C{ H }_{ 4 }$$

C
He

D
$${ D }_{ 2 }$$
Question 2
1 / -0

An ideal gas is at a temperature $$T$$ having molecules each of mass $$\mathrm { m } .$$ If $$\mathrm { k }$$ is the Boltzmann's constant and $$2 \mathrm { kT } / \mathrm { m } = 1.40 \times 10 ^ { 5 } \mathrm { m } ^ { 2 } / \mathrm { s } ^ { 2 } .$$ Find the percentage of the fraction of molecules whose speed lie in the range $$324\mathrm { m } / \mathrm { s }$$ to $$326\mathrm { m } / \mathrm { s } .$$

A
$$0.52 \%$$

B
$$0.43 \%$$

C
$$0.21 \%$$

D
$$0.14 \%$$

Solution
Question 3
1 / -0

The rate of a gaseous relation is given by the expressions K[A] [B].If the volume of reaction suddenly reduced to one fourth of the initial volume,the reaction rate relative to the original cases.

A
$$\dfrac { 1 }{ 6 } $$

B
$$\dfrac { 1 }{ 8 } $$

C
$$8$$

D
$$16$$

Solution
Question 4
1 / -0

A classical model of a diatomic molecule is a springy dumbbell, as shown, where the dumbbell is free to rotate about axes perpendicular to the spring. At high temperature when vibrational degree of freedom is excited, the specific heat per mole at constant volume, is.

A
$$\dfrac32R$$

B
$$\dfrac52R$$

C
$$\dfrac72R$$

D
$$\dfrac75R$$

Solution
Question 5
1 / -0

The molecular weights of $$O_2$$ and $$N_2$$ are 32 and 28 respectively. At $$15^0$$C, the pressure of 1 gm will be the same as that of 1 gm in the same bottle at the temperature.

A
$$-21^0$$C

B
$$-13^0$$C

C
$$15^0$$C

D
$$56.4^0$$C

Solution
Question 6
1 / -0

p-T diagram of one mole of an ideal monoatomic gas is shown. Processes $$AB$$ and $$CD$$ was adiabatic. Work done in the complete cycle is

A
$$2.5RT$$

B
$$-2RT$$

C
$$1.5RT$$

D
$$-3.5RT$$

Solution
Question 7
1 / -0

The potential energy function for the force between two atoms in a diatomic molecule is approximately given by $$ U (X) = a/x^{12} - b/x^6 $$ where a and b are constant and x is the distance between atoms.If the dissociation energy of the molecule is $$ D = [U(x = \infty )] = U_{equilibrium}$$. D is

A
$$ b^2 / 12a $$

B
$$ b^2 / 4a $$

C
$$ b^2 /6a $$

D
$$ b^2/2a $$

Solution
Question 8
1 / -0

Kinetic energy of a gas depends upon it's:

A
Equivalent mass

B
atomic mass

C
Molecular mass

D
None of these

Solution
Question 9
1 / -0

The molar heat capacity of water at constant pressure is 75 JK-1 mol -1. When 1.0 kJ of heat is supplied to 100 g of water which is free to expand to increases in temperature of water is

A
6.6 K

B
1.2 K

C
2.4 K

D
4.8 k

Solution
Question 10
1 / -0

One mole of an ideal monoatomic gas (initial temperature $${ T }_{ 0 }$$ is made to go through the cycle abca shown in the fig. if U denotes the internal energy then choose the incorrect option

A
$${ U }_{ c }-{ U }_{ 0 }={ 15.5RT }_{ 0 }$$

B
$${ U }_{ b }-{ U }_{ a }={ 6.5RT }_{ 0 }$$

C
$${ U }_{ c }>{ U }_{ b }={ U }_{ a }$$

D
$${ U }_{ c }-{ U }_{ b }=6{ RT }_{ 0 }$$