SOLUTION: The pressure of a sample of gas is directly proportional to the temperature and inversely proportional to the volume. (a) Write an equation that expresses this fact if 50 L of gas

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Question 1128030: The pressure of a sample of gas is directly proportional to the temperature and inversely proportional to the volume.
(a) Write an equation that expresses this fact if 50 L of gas exerts a pressure of 14 kPa at a temperature of 350deg K (absolute temperature measured on the Kelvin scale).
(b) If the temperature is increased to 400deg K and the volume is decreased to 40 L, what is the pressure of the gas?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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The pressure of a sample of gas is directly proportional to the temperature and inversely proportional to the volume.
(a) Write an equation that expresses this fact if 50 L of gas exerts a pressure of 14 kPa at a temperature of 350deg K (absolute temperature measured on the Kelvin scale).
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p, pressure
t, temperature in Kelvin
v, volume
k, proportionality constant

highlight_green%28p=k%2At%2Fv%29

k=p%28v%2Ft%29
k=14%2850%2F350%29
k=2
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highlight_green%28p=2t%2Fv%29