1 Answer

Index Hacker · Answer 1 · 2023-12-16T12:04:21+0000

Answer

V₂ = 1.9 L

Step-by-step 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.

$\begin{gathered} (P_1V_1)/(T_1)=(P_2V_2)/(T_2) \\ \\ \Rightarrow V_2=(P_1V_1T_2)/(T_1P_2) \end{gathered}$

Putting the values of the given parameters into the equation, we have

$V_2=(1.5atm*3.0L*303K)/(293K*2.5atm)=\frac{1363.5\text{ }L}{732.5}=1.9\text{ }L$

Therefore, the unknown V₂ in number 1 is 1.9 L

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