Combined gas laws

What happens if both the pressure and the temperature change Boyle s law and Charles law can be combined to produce a more general law that we can use to treat these situations. This law is called the combined gas law and can be represented as follows [Pg.230]

What volume will a gas sample occupy if initially the volume is 0.227 L, and the pressure is changed from 716 torr to 734 torr, while the temperature is changed from 31°C to 16°C [Pg.230]

Both the pressure and the temperature are changing, so the combined gas law applies. Rearranging Equation 9.9 to solve for Vj yields the following [Pg.230]

We arrive at the answer by inserting the values for the initial volume and the initial and final pressures and temperatures and remembering that the temperature units must be Kelvin. [Pg.230]

EXAMPLE 4.4 Sample exercise Using the combined gas law when one variable is changed... [Pg.271]

According to the combined gas law, the volume of a given mass of gas can have any value, depending on its temperature and pressure. To compare the quantities of gas present in two different samples, it is useful to adopt a set of standard conditions of temperature and pressure. By universal agreement, the standard temperature is chosen as 273 K (0°C) and the standard pressure is chosen as exactly 1 atm (760torr). Together, these conditions are referred to as standard conditions or as standard temperature and pressure (STP). While there is nothing special about STP, some authors and some instructors find it convenient to use this short notation for this particular temperature and pressure. [Pg.189]

Arts. Boyle s law may be used because the temperature is unchanged. Alternately, the combined gas law may be used, with the Kelvin equivalent of 18°C used for both T[ and 7. ... [Pg.194]

Which temperature scale must be used in (a) Charles law problems (h) ideal gas law problems (e) combined gas law problems (<7) Boyle s law problems ... [Pg.200]

Write an equation for the combined gas law using temperature in Celsius. Explain why the Kelvin scale is more convenient. [Pg.201]

When applying Boyle s Law, we are working at constant temperature and with a constant number of moles of gas. In this case, T = T2, and the Combined Gas Law simplifies to... [Pg.181]

The law we need here that is applied to situations where the number of moles of gas and the volume stay constant can be derived from the Combined Gas Law ... [Pg.181]

Plan (1) Use the Combined Gas Law to calculate the volume that 1 L of the gas would have occupied... [Pg.182]

C is a temperature higher than STP. This condition increases the 1.00-L volume that contains 0.44 g of the mixture at STP. We calculate the expanded volume with the combined gas law. [Pg.155]

Boyle s law PXVX = P2V2 Charles law VXT2 = V2TX combined gas law = j 2... [Pg.75]

We will be solving the combined gas equation for V2, so we will take the combined gas law and rearrange for V2 ... [Pg.81]

Combined gas law Amount (n) Pressure, volume, and temperature (K) (PiVO/Tj = (P2V2)/T2... [Pg.82]

It is possible to combine Avogadro s law and the combined gas law to produce the ideal gas equation, which incorporates the pressure, volume, temperature, and amount relationships of a gas. The ideal gas equation has the form of... [Pg.82]

We can use the gas law relationships, especially the ideal gas law and the combined gas law, in reaction stoichiometry problems. For example, suppose you have 2.50 g of an impure sample of KC103 and you want to determine how many grams of pure KC103 are present. You heat the mixture and the KC103 decomposes according to the equation ... [Pg.83]

The presence of two volumes (or two temperatures) is a very strong indication that we will need to use the combined gas law. To use this gas law we need subscripts to differentiate the different volumes and temperatures. Label one volume Vj and the other V2. It does not matter which volume we label 1 or 2 as long as we label all associated variables with the same subscript. [Pg.90]

The combined gas law is (PiVi/Tj) = (P2V2/T2). It is possible to simplify this equation in this problem by removing all variables not appearing in the table. The simplified combined gas law is (V/Tj) = (V2/T2), which is a form of Charles law. After simplification, we need to isolate the variable we are seeking (the one with the question mark in the table). Isolation of T2 requires manipulating the equation. There are various ways of doing this, all yielding the equation T2 = (T /Vi). We now enter the appropriate values from our table into this equation ... [Pg.90]

In this chapter, you learned about the properties of gases. You learned that you can use the combined gas law, the ideal gas law, or the individual gas laws to calculate certain gas quantities, such as temperature and pressure. You also learned that these equations could also be useful in reaction stoichiometry problems involving gases. You learned the postulates of the Kinetic-Molecular... [Pg.93]

In the discussion of Boyle s, Charles s, and Gay-Lussac s laws we held two of the four variables constant, changed the third, and looked at its effect on the fourth variable. If we keep the number of moles of gas constant—that is, no gas can get in or out—then we can combine these three gas laws into one, the combined gas law, which can be expressed as ... [Pg.107]

For example, suppose a 5.0-L bottle of gas with a pressure of 2.50 atm at 20°C is heated to 80°C. We can calculate the new pressure using the combined gas law. Before we start working mathematically, however, let s do some reasoning. The volume of the bottle hasn t changed, and neither has the number of moles of gas inside. Only the temperature... [Pg.107]

We could work this into the combined gas law, but more commonly the amount of gas is related to the other physical properties through another relationship that Avogadro developed ... [Pg.109]

Most gas law experiments use either the combined gas law or the ideal gas equation. Moles of gas are a major factor in many of these experiments. The combined gas law can generate the moles of a gas by adjusting the volume to STP and using Avogadro s relationship of 22.4 L/mol at STE The ideal gas equation gives moles from the relationship n = PV/RT. [Pg.112]

The values of P, T, and n may be used to determine the volume of a gas. If this volume is to be used with Avogadro s law of 22.4 L/mol, the combined gas law must be employed to adjust the volume to STE This equation will use the measured values for P and Talong with the calculated value of V. These values are combined with STE conditions (0°C (273.15 K) and 1.00 atm) to determine the molar volume of a gas. [Pg.113]

Use the combined gas law to calculate molar volume at room temperature and atmospheric pressure. [Pg.53]

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