6. The pressure P, volume V, and temperature T of a sample of a certain gas follows the law: 0.25 T P = V L·atm [Units: P in atmospheres (atm) T in Kelvin (K) V in liters (L) the constant 0.25 has units K K L If the temperature is increasing at a rate of 2 min and the volume is increasing at a rate of 0.4- min how fast is the pressure changing at the moment when the temperature is 300 K and the volume is 20 L?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 14CC
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6. The pressure P, volume V, and temperature T of a sample of a certain gas follows the law:
0.25 T
P =
V
L·atm
[Units: P in atmospheres (atm) T in Kelvin (K) V in liters (L)
the constant 0.25 has units
K
K
If the temperature is increasing at a rate of 2
and the volume is increasing at a rate of 0.4
min
L
how fast is
min
the pressure changing at the moment when the temperature is 300 K and the volume is 20 L?
Transcribed Image Text:6. The pressure P, volume V, and temperature T of a sample of a certain gas follows the law: 0.25 T P = V L·atm [Units: P in atmospheres (atm) T in Kelvin (K) V in liters (L) the constant 0.25 has units K K If the temperature is increasing at a rate of 2 and the volume is increasing at a rate of 0.4 min L how fast is min the pressure changing at the moment when the temperature is 300 K and the volume is 20 L?
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