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Question: Two mole of an ideal monoatomic gas at temp 4T<sub>0</sub> and 3 mole of ideal diatomic gas at temp ...

Two mole of an ideal monoatomic gas at temp 4T0 and 3 mole of ideal diatomic gas at temp 2T0 are kept in thermal contact. Calculate the equilibrium temperature –

A

157\frac{15}{7}T0

B

187\frac{18}{7}T0

C

227\frac{22}{7}T0

D

None

Answer

187\frac{18}{7}T0

Explanation

Solution

T = 2×3×4T0+3×5×2T02×3+3×5\frac{2 \times 3 \times 4T_{0} + 3 \times 5 \times 2T_{0}}{2 \times 3 + 3 \times 5} = 54T021\frac{54T_{0}}{21} = 187\frac{18}{7} T0