SOLUTION: The volume V of a given mass of gas varies directly as the temperature T and inversely as the 19) pressure P. If V = 465.0 in.3 when T = 310� and P = 10 lb/in.2, what is the volum

Click here to see ALL problems on Mixture Word Problems

Question 126591This question is from textbook College Algebra
: The volume V of a given mass of gas varies directly as the temperature T and inversely as the 19)
pressure P. If V = 465.0 in.3 when T = 310� and P = 10 lb/in.2, what is the volume when T = 300�
and P = 20 lb/in.2? This question is from textbook College Algebra

Answer by marcsam823(57) (Show Source):
You can put this solution on YOUR website!
The two key words in this exercise are "directly" and "inversely".
--If one variable varies directly with another it increases or decreases as the other increases or decreases. (move in the same direction)
--If one variable varies inversely as another it decreases as the other increases and increases as the other decreases. (move in opposite directions)
To translate this algebraically:
A. "Volume V varies directly as the Temperature T" = or divide
B. "Volume V varies inversely as the Pressure P" = or multiply
Putting this all together:

1. Table of values
Let V1 = 465
Let P1 = 10
Let T1 = 310
Let P2 = 20
Let T2 = 300
2. Find V2
3. Set up a proportion:
4. Substitute the given values
5. Solve for V2
6. Cross-multiply
7.
8. Check your answer

The answer is correct.