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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 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?

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?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Hi there, please help me with solving this problem please. Please clearly indicate all parts of answer(s). Please indicate what type of problem it is: optimization, linear approximation or related rates. I would really appreciate if you could include all steps to solve the problem as well. Thank you very much!

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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