TS EAMCET · Physics · Thermodynamics
If 4 moles of an ideal monoatomic gas at temperature \(400 \mathrm{~K}\) is mixed with 2 moles of another ideal monoatomic gas at temperature \(700 \mathrm{~K}\), the temperature of the mixture is
- A \(550^{\circ} \mathrm{C}\)
- B \(5000^{\circ} \mathrm{C}\)
- C \(550 \mathrm{~K}\)
- D \(500 \mathrm{~K}\)
Answer & Solution
Correct Answer
(D) \(500 \mathrm{~K}\)
Step-by-step Solution
Detailed explanation
Temperature of the mixture \[ \begin{aligned} T & =\frac{m_1 T_1+m_2 T_2}{m_1+m_2} \\ & =\frac{4(400)+2(700)}{4+2}=500 \mathrm{~K} \end{aligned} \]
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