Engineer & Medical

Kinetic Theory of Gases question bank (Physics)

Practice 745 free Engineer & Medical Physics - Kinetic Theory of Gases questions with answers and step-by-step solutions.

Q1.

If $2$ mole of an ideal monoatomic gas at temperature $T$, is mixed with $6$ mole of another ideal monoatomic gas at temperature $2T$ then the temperature of mixture is :

(A)
$\dfrac{5}{2}T$
(B)
$\dfrac{5}{4}T$
(C)
$\dfrac{7}{2}T$
(D)
$\dfrac{7}{4}T$
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Q2.

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Statement I: Change in internal energy of a system containing $n$ mole of ideal gas can be written as $\Delta U = n C_v (T_f - T_i) = \dfrac{nR}{\gamma - 1}(T_f - T_i)$, where $\gamma = \dfrac{C_p}{C_v}$, $T_i =$ initial temperature, $T_f =$ final temperature.
Statement II: Relation between degree of freedom $f$ and $\gamma (= C_p/C_v)$ is $\left(\gamma = 1 + \dfrac{2}{f}\right)$
Choose the correct answer from the options given below

(A)
Both A and R are true and R is the correct explanation of A
(B)
Both A and R are true but R is NOT the correct explanation of A
(C)
A is true but R is false
(D)
A is false but R is true
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