A balloon vendor at a street fair is using a tank of helium tofill her balloons.

Question

A balloon vendor at a street fair is using a tank of helium tofill her balloons. The tank has a volume of 146 L and apressure of 145 atm at 23 degrees C. After a while shenotices that the value has not been closed properly. Thepressure had dropped to 135 atm (The tank is still at 23 degreesC). How many moles of gas has she lost? ____ moles A balloon vendor at a street fair is using a tank of helium tofill her balloons. The tank has a volume of 146 L and apressure of 145 atm at 23 degrees C. After a while shenotices that the value has not been closed properly. Thepressure had dropped to 135 atm (The tank is still at 23 degreesC). How many moles of gas has she lost? ____ moles

Explanation / Answer

We Know that :       As the process is carried atconstant temperature we can use Boyle's Law :           PV= constant   at constant temperature           145 atmx 146 L = 135 atm x V               V = 156.8148L     According to ideal gas equation change innumber of moles of the gas can be calculated as :         n = PV / RT             = 10 atm x 10.8148 L = n x 0.0821 atm -L /mol-K x 296 K         n = 4.450moles          P , V , n are the change in pressure ,volume and number of moles at a particular                                                  temperature.     According to ideal gas equation change innumber of moles of the gas can be calculated as :         n = PV / RT             = 10 atm x 10.8148 L = n x 0.0821 atm -L /mol-K x 296 K         n = 4.450moles          P , V , n are the change in pressure ,volume and number of moles at a particular                                                  temperature.

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