Question

It 2 moles of an ideal monoatomic gas at temperature T₀is mixed with 4 moles of another ideal monoatomic gas at temperature 2T₀, then the temperature of the mixture is:

• A. $\frac{5}{3}T_{0}$
• B. $\frac{3}{2}T_{0}$
• C. $\frac{4}{3}T_{0}$
• D. $\frac{5}{4}T_{0}$

Answer 1

Answer: (A)

$\frac{5}{3}T_{0}$

Answer 2

2 × $\frac{3}{2}$RT₀ + 4 ×$\frac{3}{2}$R(2T₀) = 6 × $\frac{3}{2}$RT

$\frac{30}{2}RT_{0} = \frac{18}{2}RT$

T = $\frac{15}{9}T_{0} = \frac{5}{3}T_{0}$