Answer 1 . The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Therefore, Equation can be simplified to: By solving the equation for \(P_f\), we get: \[P_f=P_i\times\dfrac{T_i}{T_f}=\rm1.5\;atm\times\dfrac{1023\;K}{298\;K}=5.1\;atm\]. T 1 Hence, where dS is the infinitesimal area element along the walls of the container. 2 V Scientists have chosen a particular set of conditions to use as a reference: 0C (273.15 K) and \(\rm1\; bar = 100 \;kPa = 10^5\;Pa\) pressure, referred to as standard temperature and pressure (STP). 1 , Benot Paul mile Clapeyron What units are used in the combined gas law? The value used for is typically 1.4 for diatomic gases like nitrogen (N2) and oxygen (O2), (and air, which is 99% diatomic). The method used in Example \(\PageIndex{1}\) can be applied in any such case, as we demonstrate in Example \(\PageIndex{2}\) (which also shows why heating a closed container of a gas, such as a butane lighter cartridge or an aerosol can, may cause an explosion). {\displaystyle V_{3}} Since each formula only holds when only the state variables involved in said formula change while the others (which are a property of the gas but are not explicitly noted in said formula) remain constant, we cannot simply use algebra and directly combine them all. v , Using then Charles's law (equation 2) to change the volume and temperature of the gas, After this process, the gas has parameters {\displaystyle P_{2},V_{2},N_{2},T_{2}}. For reference, the JouleThomson coefficient JT for air at room temperature and sea level is 0.22C/bar.[7]. Which equation is derived from the combined gas law?
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