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(B) According to the ideal gas law,$PV = nRT$. Since the temperature $T$ is constant,the total number of moles $n_{total} = n_A + n_B$ remains constan

Vedclass · Accepted Answer

$0.98$

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(B) According to the ideal gas law,$PV = nRT$. Since the temperature $T$ is constant,the total number of moles $n_{total} = n_A + n_B$ remains constant.For container $A$: $n_A = \frac{P_A V_A}{RT}$For container $B$: $n_B = \frac{P_B V_B}{RT}$When the containers are connected,the final pressure $P_f$ is given by:$P_f(V_A + V_B) = (n_A + n_B)RT$$P_f(V_A + V_B) = P_A V_A + P_B V_B$Substituting the given values:$P_f = \frac{P_A V_A + P_B V_B}{V_A + V_B}$$P_f = \frac{(1.40 \, MPa 	imes 0.10 \, m^3) + (0.7 \, MPa 	imes 0.15 \, m^3)}{0.10 \, m^3 + 0.15 \, m^3}$$P_f = \frac{0.14 + 0.105}{0.25} \, MPa$$P_f = \frac{0.245}{0.25} \, MPa = 0.98 \, MPa$.

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