High School

A sample of gas originally at 88.1 degrees C and 5.255 atm pressure in a 107 L container is allowed to expand until the pressure is 2.35 atm and the temperature is 38.8 degrees C.

What is the final volume of the gas in liters?

Answer :

Initial temperature = 88.1 degrees CInitial pressure = 5.255 atmFinal temperature = 38.8 degrees CFinal pressure = 2.35 atmInitial volume = 107 L.

To find: Final volume of the gasFormula used:Charles' Law : V1/T1 = V2/T2, whereV1 = Initial volumeT1 = Initial temperatureV2 = Final volumeT2 = Final temperature As per Charles' Law, V1/T1 = V2/T2 Rearranging the above equation, we get,V2 = (V1 x T2) / T1.

Substitute the given values in the above formula:V2 = (107 x (38.8 + 273.15)) / (88.1 + 273.15)V2 = (107 x 312.95) / 361.25V2 = 92.56 LTherefore, the final volume of the gas is 92.56 L. Rearranging the above equation .

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