For any gas, =T (7), (7), Suppose you have one mole of a gas that obeys the equation of state, P(V-b) = represents the volume taken up by the molecules in the system, and 3.5 bars and T = 425 K for your gas sample. Hint: Use the equation of state to evaluate the partial derivatives. =RT, where b is the molar volume. Find the value of A if C₂-C=AR when P =
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- The tidal lung volume of human breathing, representing the amount of air inhaled and exhaled in a normal breath, is 500 cm³. (Assume atmospheric pressure.) (a) What is the number of molecules of air inhaled with each human breath when the air temperature is 25.0°C? molecules (b) If the molar mass of air is 28.96 g/mol, what is the mass (in g) of air molecules inhaled with each breath? (Assume the air temperature is 25.0°C.) g (c) It has been calculated that all of the air in Earth's atmosphere could be collected into a sphere of diameter 1,999 km at a pressure of 1.00 atm. What is the mass (in kg) of the air in Earth's atmosphere? (Assume the density of air used in this calculation was 1.225 kg/m³.) kg (d) If all 7 billion humans on Earth inhaled simultaneously, what percentage of the atmosphere would be inhaled during this process? (Assume the air temperature is 25.0°C everywhere on Earth.) %Please help meThe gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) dT=0.512 dt X K/min
- A sealed 19 m3 tank is filled with 7,011 moles of ideal oxygen gas (diatomic) at an initial temperature of 292 K The gas is heated to a final temperature of 490 K. The atomic mass of oxygen is 16.0 g/mol. The final pressure of the gas, in MPa, is closest to: answer round to 4 sig.fign = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.135 m3 Part (a) The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas? Part (b) The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gasIf gas pressure (absolute value) for an ideal gas is held constant, the relationship between gas temperature and volume is direct inverse of the form y = mx + c O parabolic
- n = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.135 m3 50% Part (a) The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas? T = 421.76T = 421.8 ✔ Correct! 50% Part (b) The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gas?The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol.(Round your answer to four decimal places.)Problem 3. The viral coefficients of a gas at 20 °C and 11.5 bar are B = -138 cm³ mol¹ and C=7222 cmº mol². Calculate the V (molar volume) Z (compressibility factor) of the gas. Use the equation below (R = 83.14 cm³ bar mol-¹ K-¹). PV 2 = ² = (1 + = + =) Z RT
- When the gas is in state 1, its temperature is T1. Find the temperature in T3 of the gas when it is in state 3. (Keep in mind that this is an ideal gas.) Express T3 in terms of T1.0.52 mol of argon gas is admitted to an evacuated 3.00 liter (3.00 × 10-3 m3) container at 20.0°C. The gas then undergoes an isobaric process to a temperature of 260°C. What is the final pressure of the gas, in atm? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.