Question

Urgent 25 points!!!

Consider this gas law problem: if I have 3.2 L of gas at a pressure of 3.5 atm and a temperature of 323 K, what will be the temperature of the gas if I decrease the volume of the gas to 2.6 L and decrease the pressure to 1.5

Answer all parts below for full credit:
A) What are the knows in this problem
B) What is the problem asking you to find
C) Which gas law is the best law for finding the answer to this problem?
D) Use the gas law that you indicated in part C above and find the unknown value(be sure to show all of your work)

Answer 1

`\boxed{\text{112 K}}`

Step-by-step explanation:

A) Know

p₁ = Initial pressure; p₂ = final pressure

V₁ =Initial volume; V₂ = final pressure

T₁ = Initial temperature

B) Find

T₂ = final temperature

C) Strategy

Use the Combined Gas Laws Equation:

`(p_(1)V_(1))/(T_(1)) = (p_(2)V_(2))/(T_(2))`

It contains symbols for all the knowns and the unknown.

D) Calculations

(i) Data:

p₁ = 3.5 atm; p₂ = 1.5 L

V₁ = 3.2 L; V₂ = 2.6 L

T₁ = 323 K T₂ = ?

(ii) Calculation

`(3.5*3.2)/(323) = (1.5* 2.6)/(T_(2))\\\\0.0347 = (3.90)/(T_(2))\\\\T_(2) = (3.90)/(0.0347) = \boxed{\textbf{112 K}}`