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CHM 211; CH.5: Gas Laws and Molecular Nature of Matter
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What is atmospheric pressure at sea level in common units?
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What is atmospheric pressure at sea level in common units?
1 atm
= 760 mmHg = 101.325 kPa
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Terms in this set (20)
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What is atmospheric pressure at sea level in common units?
1 atm
= 760 mmHg = 101.325 kPa
What are the standard temperature and pressure (STP) conditions?
1 atm
pressure and
0 °C (273 K)
temperature
How do gases differ from liquids and solids in terms of volume change?
Gas volume changes significantly with pressure and temperature, unlike solids and liquids.
State Boyle's Law and its formula.
At constant temperature, volume is inversely proportional to pressure: \(PV=\text{constant}\) or \(P_1V_1=P_2V_2\)
State Charles's Law and its formula.
At constant pressure, volume is directly proportional to absolute temperature: \(\frac{V}{T}=\text{constant}\) or \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)
State Avogadro's Law and its formula.
At constant temperature and pressure, volume is directly proportional to moles: \(\frac{V}{n}=\text{constant}\) or \(\frac{V_1}{n_1}=\frac{V_2}{n_2}\)
What is the Ideal Gas Law formula?
\(PV=nRT\), relating pressure, volume, moles, and temperature.
What are the ideal gas assumptions?
No intermolecular forces, gas molecules have negligible volume, and collisions are elastic with no kinetic energy loss.
What volume does 1 mole of an ideal gas occupy at STP?
22.4 L
at 0 °C and 1 atm
How do you calculate the density of a gas using the ideal gas law?
\(d=\frac{MP}{RT}\), where M is molar mass.
What is Dalton's Law of Partial Pressures?
Total pressure is the sum of partial pressures: \(P_T=P_A+P_B+\cdots\) and \(P_A=X_AP_T\) where
X_A
is mole fraction.
What does the kinetic molecular theory state about gas molecules?
Gas molecules are in constant, random motion with a distribution of speeds related to temperature.
How is the average kinetic energy of gas molecules related to temperature?
\(KE=\frac{3}{2}k_BT\), where
k_B
is Boltzmann's constant.
What is the formula for root-mean-square speed of gas molecules?
\(u_{rms}=\sqrt{\frac{3RT}{M}}\), where M is molar mass in kg/mol.
State Graham's Law of Effusion and Diffusion.
Rate ratio relates inversely to square root of molar masses: \(\frac{r_1}{r_2}=\sqrt{\frac{M_2}{M_1}}\)
Why do real gases deviate from ideal gas behavior?
Real gases have finite volume and experience intermolecular forces, especially at low temperature and high pressure.
What is the Van der Waals equation for real gases?
\(\left(P+\frac{n^2a}{V^2}\right)(V-nb)=nRT\), where
a
and
b
correct for attractions and volume.
How does gas volume change with temperature at constant pressure?
Gas volume increases as temperature increases, according to Charles's Law.
How does gas pressure change with volume at constant temperature?
Gas pressure increases as volume decreases, according to Boyle's Law.
How do you calculate molar mass from the ideal gas law?
\(M=\frac{mRT}{PV}\), where m is mass of gas.