JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
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 \(\dfrac{7}{4}T\)
Answer & Solution
Correct Answer
(D) \(\dfrac{7}{4}T\)
Step-by-step Solution
Detailed explanation
Using the principle of conservation of internal energy for the mixture of ideal gases: \(U_{mix} = U_1 + U_2\) \((n_1 + n_2) C_{V} T_{mix} = n_1 C_{V} T_1 + n_2 C_{V} T_2\) Since both gases are monoatomic, their molar heat capacities at constant volume are equal (…
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