Question 1: Thermodynamics & KTG

Question

If 2 moles of an ideal monoatomic gas at temperature $T_0$ is mixed with 4 moles of another ideal monoatomic gas at temperature $2 T_0$, then the temperature of the mixture is

Accepted Answer

$\begin{aligned}
& 	ext {Let } T 	ext { be the temperature of the mixture, then } \
& U=U_1+U_2 \
& 	ext { or } \frac{f}{2}\left(n_1+n_2ight) R T=\frac{f}{2}\left(n_1ight)(R)\left(T_0ight)+\frac{f}{2}\left(n_2ight)(R)\left(2 T_0ight) \
& 	ext { or } \quad(2+4) T=2 T_0+8 T_0 \quad\left(\because n_1=2, n_2=4ight) \
& 	herefore \quad T=\frac{5}{3} T_0 \
\end{aligned}$

Answer

$\frac{5}{3} T_0$

Answer

$\frac{3}{2} T_0$

Answer

$\frac{4}{3} T_0$

Answer

$\frac{5}{4} T_0$

Thermodynamics & KTG

If 2 moles of an ideal monoatomic gas at temperature T_0 is mixed with 4 moles of another ideal monoatomic gas at temperature 2 T_0, then the temperature of the mixture is

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