Makakuha ng mabilis at maaasahang mga sagot sa iyong mga tanong sa IDNStudy.com. Ang aming platform ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

A 2.50 L sample of dry air in a cylinder exerts a pressure of 3.00 atm at 25 ˚C. Without changing the temperature, a piston is moved until the pressure in the cylinder is reduced to 1.00 atm. What is the final volume of the gas?

Sagot :

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Step 1: List the given values

[tex]\begin{aligned} P_1 & = \text{3.00 atm} \\ V_1 & = \text{2.50 L} \\ P_2 & = \text{1.00 atm} \end{aligned}[/tex]

Final Step: Calculate the final volume using Boyle's law.

[tex]\begin{aligned} V_2 & = \frac{P_1V_1}{P_2} \\ & = \frac{(\text{3.00 atm})(\text{2.50 L})}{\text{1.00 atm}} \\ & = \boxed{\text{7.50 L}} \end{aligned}[/tex]

Hence, the final volume of the gas is 7.50 L.

[tex]\\[/tex]

#CarryOnLearning