Question

a sample of gas initially at 0.92 atm and a temperature of 23.2 oc is heated to 40.1 oc. the resulting pressure is 1.3 atm which occupies a volume of 500. ml. what is the initial volume of the sample in milliliters?

Answer 1

From the gas law, PV=nRT we can say that P(pressure), V(volume) and T (temperature) are related to each other. The initial volume of sample is 408 ml

Given that initial volume of the sample = V1

initial pressure of the sample = 0.92atm

initial temperature of the sample = 23.2oC

Final pressure of the sample = 1.3atm

Final  temperature of the sample = 40.1 oC

Final  volume of the sample = 500ml = 0.5L

Using the relation P1V1/T1 = P2V2/T2

V1 = 1.3x0.5x23.2/40.1x0.92 = 15.08/36.892 = 0.408

Hence the initial volume of sample = 408 ml

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