According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters), and temperature, T (in kelvins) are related by the equation PV = nRT where R is the ideal gas constant and n is the number of moles of the gas present. (a) Find dP assuming that both volume and temperature are changing in time. dt (b) Create a model for temperature assuming that it varies sinusoidally in time starting with a minimum temperature of 300 K at the initial time of t = 0 hours and is at its maximum of 320 K at t = 12 hours. (c) Create a model for volume assuming that starts at 10 cubic meters at t = 0 hours and increases by 10% every six hours. dP (d) Find under the assumptions of parts (a), (b) and (c). Your answer will contain n and dt t=18 R.

Elements Of Electromagnetics
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I need answers to a, b, c, and d.

Question 3 According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters), and temperature,
T (in kelvins) are related by the equation
PV
nRT
where R is the ideal gas constant and n is the number of moles of the gas present.
dP
(а) Find
assuming that both volume and temperature are changing in time.
dt
(b) Create a model for temperature assuming that it varies sinusoidally in time starting with a
minimum temperature of 300 K at the initial time of t
0 hours and is at its maximum of
%3D
320 K at t = 12 hours.
(c) Create a model for volume assuming that starts at 10 cubic meters at t = 0 hours and increases
by 10% every six hours.
dP
(d) Find
under the assumptions of parts (a), (b) and (c). Your answer will contain n and
dt
t=18
R.
Transcribed Image Text:Question 3 According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters), and temperature, T (in kelvins) are related by the equation PV nRT where R is the ideal gas constant and n is the number of moles of the gas present. dP (а) Find assuming that both volume and temperature are changing in time. dt (b) Create a model for temperature assuming that it varies sinusoidally in time starting with a minimum temperature of 300 K at the initial time of t 0 hours and is at its maximum of %3D 320 K at t = 12 hours. (c) Create a model for volume assuming that starts at 10 cubic meters at t = 0 hours and increases by 10% every six hours. dP (d) Find under the assumptions of parts (a), (b) and (c). Your answer will contain n and dt t=18 R.
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