The pressure in newtons per square meter (N/m²) of a gas in a cylinder is given by P = with T in Kelvins (K) and V in cubic meters (m³). (a) If T' is increasing at a rate of 4 K/min with V held fixed at 2.5 m³, find the rate at which the pressure is changing when T = 70 K. Pa/min (b) If T'is held constant at 70 K while V is decreasing at the rate of 4 m³/min, find the rate at which the pressure is changing when V = 2.5 m³. Pa/min

University Physics Volume 2
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Chapter2: The Kinetic Theory Of Gases
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Problem 70P: Using a numerical integration method such as Simpson's rule, find the fraction of molecules in a...
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The pressure in newtons per square meter (N/m?) of a gas in a cylinder is given by P =
10T
with T in Kelvins (K) and V in cubic
meters (m³).
(a) If T is increasing at a rate of 4 K/min with V held fixed at 2.5 m, find the rate at which the pressure is changing when T = 70K.
Pa/min
(b) If T is held constant at 70 Kwhile V is decreasing at the rate of 4 m /min, find the rate at which the pressure is changing when
V = 2.5 m³.
Pa/min
Transcribed Image Text:View Policies Current Attempt in Progress The pressure in newtons per square meter (N/m?) of a gas in a cylinder is given by P = 10T with T in Kelvins (K) and V in cubic meters (m³). (a) If T is increasing at a rate of 4 K/min with V held fixed at 2.5 m, find the rate at which the pressure is changing when T = 70K. Pa/min (b) If T is held constant at 70 Kwhile V is decreasing at the rate of 4 m /min, find the rate at which the pressure is changing when V = 2.5 m³. Pa/min
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