According to the ideal gas law, the pressure, temperature, and volume kT where k is a constant of V' of a gas are related by P proportionality. Suppose that V is measured in cubic inches (in³), T is measured in kelvins (K), and that for a certain gas the constant of proportionality is k = 5 (in · lb)/K. NOTE: Enter the eract answers. (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature is 44 K and the volume remains fixed at 20 in³. ] lb/(in²K) (b) Find the instantaneous rate of change of volume with respect to pressure if the volume is 20 in³ and the temperature remains fixed at 44 K. in /lb

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According to the ideal gas law, the pressure, temperature, and volume
kT
where k is a constant of
V'
of a gas are related by P
proportionality. Suppose that V is measured in cubic inches (in³), T
is measured in kelvins (K), and that for a certain gas the constant of
proportionality is k = 5 (in · lb)/K.
NOTE: Enter the eract answers.
(a) Find the instantaneous rate of change of pressure with respect to
temperature if the temperature is 44 K and the volume remains
fixed at 20 in³.
] lb/(in²K)
(b) Find the instantaneous rate of change of volume with respect to
pressure if the volume is 20 in³ and the temperature remains
fixed at 44 K.
in /lb
Transcribed Image Text:According to the ideal gas law, the pressure, temperature, and volume kT where k is a constant of V' of a gas are related by P proportionality. Suppose that V is measured in cubic inches (in³), T is measured in kelvins (K), and that for a certain gas the constant of proportionality is k = 5 (in · lb)/K. NOTE: Enter the eract answers. (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature is 44 K and the volume remains fixed at 20 in³. ] lb/(in²K) (b) Find the instantaneous rate of change of volume with respect to pressure if the volume is 20 in³ and the temperature remains fixed at 44 K. in /lb
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