Related Rates: Charles' Law and finding change in volume

wind

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According to Charles' Law, if the pressure of a dry gas remains constant while it is being compressed, the temperature, T, in degrees Celsius, and the volume, V, in cubic centemeters, satisfy the equation V/T = C, where C is a constant.

At a certain time, the volume is 400 cm^3 and the temperature is 20 degrees Celsius. If, at the same time, the temperature is increasing at a rate of 0.5 degrees-C/min, determine the rate of change of the volume.

V = 400
T = 20
C =

dv/dt = ?
dT/dt = 0.5
dc/dt =0

d/dt V / (d/dt T) = d/dt C
d/dt 400 = 10
d/dt = 10/400 = 0.025

Could someone please check this over? Thank you!
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Edited by stapel -- Reason for edit: spelling, punctuation, capitalization, etc
 
V/T = C ... 400/20 = 20 = C

V = CT

dV/dt = C(dT/dt)

dV/dt = 20(.5) = 10 cm<sup>3</sup>/min
 
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