Answer
V₂ = 1.9 L
Explanation
Given:
P₁ = 1.5 atm
V₁ = 3.0 L
T₁ = 20⁰C = (20 + 273 )K = 293 K
P₂ = 2.5 atm
T₂ = 30⁰C = (30 + 273 )K = 303 K
What to find:
V₂
Step-by-step solution:
The unknown V₂ can be determined using the combined gas equation, which is given below.
[tex]\begin{gathered} \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2} \\ \\ \Rightarrow V_2=\frac{P_1V_1T_2}{T_1P_2} \end{gathered}[/tex]
Putting the values of the given parameters into the equation, we have
[tex]V_2=\frac{1.5atm\times3.0L\times303K}{293K\times2.5atm}=\frac{1363.5\text{ }L}{732.5}=1.9\text{ }L[/tex]
Therefore, the unknown V₂ in number 1 is 1.9 L
