SOLUTION: the pressure of a gas varies jointly as the quantity of the gas measured in moles and thetemperature and inversly as the volume of the gas. suppose that the pressure of a particula

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Question 427594: the pressure of a gas varies jointly as the quantity of the gas measured in moles and thetemperature and inversly as the volume of the gas. suppose that the pressure of a particular gas is 924 kilopascals kpa when the quantity is 8 moles the temperature is 280 kelivin k and the volume is 640 cc. find the pressure of that gas when the number of moles is 11 the temperatureis 310 k and the volume is 660cc.
Answer by Gersid(33) About Me  (Show Source):
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Start by writing the equation of variation:
P+=+nkT%2Fv "The pressure (P) of a gas varies jointly as the quantity of the gas in moles (n) and the temperature (T) and inversely as the volume of the gas (v)."
Where: P = pressure, n = number of moles, T = temperature, v = volume, and k = the constant of variation.
First find the value of k using the given initial values of the data:
924+=+%288%29k%28280%29%2F640 Solve for k.
k+=+264 The formula for the pressure is:
P+=+n%28264%29T%2Fv Substitute: n = 11, T = 310, and v = 660.
P+=+11%28264%29%28310%29%2F660 Evaluate.
P+=+1364kpa.