Question

Your computer informs you that this gas follows the Ideal Gas Law (PV =

nRT), and that the units for these calculations are already
accounted for. This means that no conversions are necessary in your
calculations. Some initial values (at time t = 0) are provided below.
=
Pressure (P) = 100 kPa
Volume (V) = 17L
nR (a constant) = 8.3145 kPaL/K
Temperature (T) = 304 K
What value do you provide to your computer for the initial rate of change
of temperature in kelvin/minute?

Answer 1

We can use the formula for the rate of change of temperature with respect to time, which is:

dT/dt = - (P * V) / (nR * V)

Plugging in the given values:

dT/dt = - (100 kPa * 17 L) / (8.3145 kPaL/K * 17 L)

dT/dt = - (1700 kPa*L) / (141.3285 kPaL/min)

dT/dt = -12.028 K/min

Therefore, the value we provide to the computer for the initial rate of change of temperature is -12.028 K/min.