These byproducts can accumulate within the closed jar, further contributing to the depletion of oxygen and ultimately causing the flame to go out.
When a jar is placed on top of a candle, it creates a closed environment within the jar. This closed environment leads to a depletion of oxygen, which is necessary for combustion to occur. As the candle burns, it consumes oxygen from the surrounding air to sustain the flame.
When the jar is placed over the candle, it limits the availability of fresh air and restricts the flow of oxygen into the jar. As the candle burns and consumes the available oxygen, it eventually uses up the oxygen trapped inside the jar. Without sufficient oxygen, the combustion process cannot continue, and the flame extinguishes.
Additionally, the combustion process produces carbon dioxide and water vapor as byproducts. These byproducts can accumulate within the closed jar, further contributing to the depletion of oxygen and ultimately causing the flame to go out.
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A monatomic ideal gas, kept at the constant pressure 1.804E+5 Pa during a temperature change of 26.5 °C. If the volume of the gas changes by 0.00476 m3 during this process, how many mol of gas where present?
Approximately 0.033482 moles of gas were present during the process of the temperature change.
To find the number of moles of gas present during the process, we can use the ideal gas law:
PV = nRT
where: P is the pressure (1.804E+5 Pa),
V is the volume (0.00476 m³),
n is the number of moles,
R is the ideal gas constant (8.314 J/(mol·K)),
T is the temperature change in Kelvin.
First, we need to convert the temperature change from Celsius to Kelvin:
ΔT = 26.5 °C = 26.5 K
Rearranging the ideal gas law equation to solve for the number of moles:
n = PV / (RT)
Substituting the given values into the equation:
n = (1.804E+5 Pa × 0.00476 m³) / (8.314 J/(mol·K) × 26.5 K)
Simplifying the equation and performing the calculations:
n ≈ 0.0335 mol
Therefore, approximately 0.0335 moles of gas were present during the process.
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Assume an isolated volume V that does not exchange temperature with the environment. The volume is divided, by a heat-insulating diaphragm, into two equal parts containing the same number of particles of different real gases. On one side of the diaphragm the temperature of the gas is T1, while the temperature of the gas on the other side is T2. At time t0 = 0 we remove the diaphragm. Thermal equilibrium occurs. The final temperature of the mixture will be T = (T1 + T2) / 2; explain
The final temperature of the mixture, T, will be the average of the initial temperatures of the two gases: T = (T1 + T2) / 2. This result holds true when the volume is isolated, and no heat exchange occurs with the surroundings.
When the diaphragm is removed and the two gases are allowed to mix, they will undergo a process known as thermal equilibration. In this process, the particles of the two gases will interact with each other and exchange energy until they reach a state of thermal equilibrium.
At the initial state (t = 0), the gases are at different temperatures, T1 and T2. As the diaphragm is removed, the particles from both gases will start to collide with each other. During these collisions, energy will be transferred between the particles.
In an isolated volume where no heat exchange occurs with the environment, the total energy of the system (which includes both gases) is conserved. Energy can be transferred between particles through collisions, but the total energy of the system remains constant.
As the particles collide, energy will be transferred from the higher temperature gas (T1) to the lower temperature gas (T2) and vice versa. This energy transfer will continue until both gases reach a common final temperature, denoted as T.
In the process of reaching thermal equilibrium, the energy transfer will occur until the rates of energy transfer between the gases become equal. At this point, the temperatures of the gases will no longer change, and they will have reached a common temperature, which is the final temperature of the mixture.
Mathematically, the rate of energy transfer between two gases can be proportional to the temperature difference between them. So, in the case of two equal volumes of gases with temperatures T1 and T2, the energy transfer rate will be proportional to (T1 - T2). As the gases reach equilibrium, this energy transfer rate becomes zero, indicating that (T1 - T2) = 0, or T1 = T2.
Therefore, the final temperature of the mixture, T, will be the average of the initial temperatures of the two gases: T = (T1 + T2) / 2. This result holds true when the volume is isolated, and no heat exchange occurs with the surroundings.
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2. The experienced analyst who normally conducts these analyses fell ill and will be unable to analyze the urine samples for the drug in time for the sporting event. In order for the laboratory manager to assign a new analyst to the task, a "blind sample" experiment was done. a. The results for the blind sample experiment for the determination of Methylhexaneamine in a urine sample are shown in Table 1 below. Table 1: Results of blind sample analysis. Response factor (F) Analyst results Internal Standard Concentration 0.25 ug/ml 0.35 mg/ml Signals 522 463 Sample Analysis ? 1.05 ug/ml 15 ml 10 ml Original concentration Volume added to sample Total Volume Signals 25 ml 400 418 i. Provide justification why an internal standard was used in this analysis instead of a spike or external standard? ii. Determine the response factor (F) of the analysis. iii. Calculate the concentration of the internal standard in the analyzed sample. iv. Calculate the concentration of Methylhexaneamine in the analyzed sample. v. Determine the concentration of Methylhexaneamine in the original sample. b. Explain how the results from the blind sample analysis can be used to determine if the new analyst should be allowed to conduct the drug analysis of the athletes' urine samples. c. Urine is considered to be a biological sample. Outline a procedure for safe handling and disposal of the sample once the analysis is completed.
a.i) Justification of why an internal standard was used in this analysis instead of a spike or external standard:
An internal standard was used in this analysis instead of a spike or external standard because an internal standard is a compound that is similar to the analyte but is not present in the original sample. The use of an internal standard in analysis corrects the variation in response between sample runs that can occur with the use of an external standard. This means that the variation in the amount of analyte in the sample will be corrected for, resulting in a more accurate result.
ii) Response factor (F) of the analysis can be calculated using the following formula:
F = (concentration of internal standard in sample) / (peak area of internal standard)
iii) Concentration of the internal standard in the analyzed sample can be calculated using the following formula:
Concentration of internal standard in sample = (peak area of internal standard) × (concentration of internal standard in original sample) / (peak area of internal standard in original sample)
iv) Concentration of Methylhexaneamine in the analyzed sample can be calculated using the following formula:
Concentration of Methylhexaneamine in sample = (peak area of Methylhexaneamine) × (concentration of internal standard in original sample) / (peak area of internal standard)
v) Concentration of Methylhexaneamine in the original sample can be calculated using the following formula:
Concentration of Methylhexaneamine in the original sample = (concentration of Methylhexaneamine in the sample) × (total volume) / (volume of sample) = (concentration of Methylhexaneamine in the sample) × (25 ml) / (15 ml) = 1.67 × (concentration of Methylhexaneamine in the sample)
b. The results from the blind sample analysis can be used to determine if the new analyst should be allowed to conduct the drug analysis of the athletes' urine samples. The new analyst should be allowed to conduct the analysis if their results are similar to the results of the blind sample analysis. If their results are significantly different, this could indicate that there is a problem with their technique or the equipment they are using, and they should not be allowed to conduct the analysis of the athletes' urine samples.
c. Procedure for safe handling and disposal of the sample once the analysis is completed:
i) Label the sample container with the sample name, date, and analyst's name.
ii) Store the sample container in a refrigerator at 4°C until it is ready to be analyzed.
iii) Once the analysis is complete, dispose of the sample container according to the laboratory's waste management protocols. The laboratory should have protocols in place for the safe disposal of biological samples. These protocols may include autoclaving, chemical treatment, or incineration.
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a) In your own words with help of diagrams describe the movement of solid particles in liquid and what forces are typically operating
[5 marks]
Due to the combined effect of the forces acting on solid particles in liquids, solid particles in a liquid exhibit a continuous and random motion known as Brownian motion.
What is the movement of solid particles in liquids?When solid particles are suspended in a liquid, they can exhibit various types of movement due to the forces acting upon them.
The movement of solid particles in a liquid is known as Brownian motion. This motion is caused by the random collision of liquid molecules with solid particles.
The forces operating in the movement of solid particles in a liquid include:
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The movement of solid particles in a liquid can be explained by diffusion and sedimentation.
In addition, Brownian motion, a random motion of particles suspended in a liquid, also plays a role. The particles' motion is influenced by gravitational, viscous, and interparticle forces. The solid particles in a liquid have a random motion that causes them to collide with one another. The rate of collision is influenced by factors such as particle concentration, viscosity, and temperature. The movement of solid particles in a liquid is governed by the following principles:
Diffusion is the process by which particles spread out in a fluid. The rate of diffusion is influenced by temperature, particle size, and the concentration gradient. A concentration gradient exists when there is a difference in concentration across a distance. In other words, the rate of diffusion is proportional to the concentration gradient. Diffusion is essential in biological processes such as respiration and excretion.Sedimentation is the process by which heavier particles settle to the bottom of a container under the influence of gravity. The rate of sedimentation is influenced by the size and shape of the particle, the viscosity of the liquid, and the strength of the gravitational field. Sedimentation is important in the separation of liquids and solids.
Brownian motion is the random motion of particles suspended in a fluid due to the impact of individual fluid molecules. The rate of Brownian motion is influenced by the size of the particles, the temperature, and the viscosity of the fluid. Brownian motion is important in the movement of particles in biological systems. The forces operating on solid particles in a liquid are gravitational force, viscous force and interparticle force. The gravitational force pulls particles down towards the bottom of the liquid container, while the viscous force acts to slow down the movement of particles. The interparticle force is the force that particles exert on each other, causing them to either attract or repel. These forces play a crucial role in determining the motion of particles in a liquid.
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7.27. An expander operates adiabatically with nitrogen entering at T, and P, with a molar flow rate n. The exhaust pressure is P2, and the expander efficiency is n. Estimate the power output of the expander and the temperature of the exhaust stream for one of the following sets of operating conditions. (a) T1 = 480°C, P, = 6 bar, n= 200 mol-s-!, P2 = 1 bar, n=0.80. (b) T1 = 400°C, P, = 5 bar, n= 150 mol-s-1.P2 = 1 bar, n=0.75.
The power output of the expander is 52.87 kW for the first set of operating conditions and 41.55 kW for the second set of operating conditions. The temperature of the exhaust stream is 123.7 K for the first set of operating conditions and 104.7 K for the second set of operating conditions.
In the given problem, a nitrogen expander is adiabatically operating with the following parameters: Inlet temperature T1Inlet pressure P1Molar flow rate n Exhaust pressure P2Expander efficiency ηThe task is to calculate the power output of the expander and the temperature of the exhaust stream. Let's calculate the power output of the expander using the following equation: Power = nRT1 η{1 - [(P2/P1) ^ ((k - 1) / k)]}where k is the ratio of specific heats. Rearranging the equation, we get: Power = nRT1 η [1 - exp (((k - 1) / k) ln (P2/P1))]Put the values in the above equation and solve it for both the cases.
(a) T1 = 480°C, P1 = 6 bar, n = 200 mol-s-1, P2 = 1 bar, η = 0.80k = 1.4 for nitrogen gas.R = 8.314 kJ/mol KPower = 200 * 8.314 * (480 + 273) * 0.80 / (1.4 - 1) * [1 - exp (((1.4 - 1) / 1.4) * ln (1/6))]Power = 52.87 kW
(b) T1 = 400°C, P1 = 5 bar, n = 150 mol-s-1, P2 = 1 bar, η = 0.75R = 8.314 kJ/mol KPower = 150 * 8.314 * (400 + 273) * 0.75 / (1.4 - 1) * [1 - exp (((1.4 - 1) / 1.4) * ln (1/5))]Power = 41.55 kW
The next step is to calculate the temperature of the exhaust stream. We can use the following equation to calculate the temperature:T2 = T1 (P2/P1)^((k-1)/k)Put the values in the above equation and solve it for both the cases.
(a) T2 = 480 * (1/6) ^ ((1.4-1)/1.4)T2 = 123.7 K
(b) T2 = 400 * (1/5) ^ ((1.4-1)/1.4)T2 = 104.7 K
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The number of moles of CO² which contain 8. 00g of oxygen is
The safety hierarchy is essential for every plant and engineered device. In the BPCS (basic process control system) layer for highly exothermic reaction, we better be sure that temperature T stays within allowed range. The measure we protect against an error in the temperature sensor (reading too low) causing a dangerously high temperature could be ___________________________________________________. The failure position of a control valve is selected to yield the safest condition in the process, so for the reactor with exothermic reaction we should select "fail open" valve, as shown in following figure, by considering the reason that ________________________________________________________.
In the SIS (safety interlock system to stop/start equipment), the reason why we do not use the same sensor that used in BPCS is that _____________________________________________________. In relief system, the goal is usually to achieve reasonable pressure (prevent high pressure or prevent low pressure), the capacity should be for the "worst case" scenario, the action is automatic (it does not require a person), and it is entirely self-contained (no external power required), in which the reason why it needs not electricity is that _______________________________________________.
In the BPCS (basic process control system) layer for a highly exothermic reaction, we better be sure that the temperature T stays within the allowed range. The measure we protect against an error in the temperature sensor (reading too low) causing a dangerously high temperature could be to install a second temperature sensor that can detect any erroneous reading from the first sensor. This will alert the BPCS system and result in appropriate actions. The failure position of a control valve is selected to yield the safest condition in the process, so for the reactor with exothermic reaction, we should select "fail-open" valve, which will open the valve during a failure, to prevent the reaction from building pressure. This will avoid any catastrophic situation such as a sudden explosion.
In the SIS (safety interlock system to stop/start equipment), the reason why we do not use the same sensor that is used in BPCS is that if there is an issue with the primary sensor, then the secondary sensor, which is in SIS, will not give the same reading as the primary. This will activate the SIS system and result in appropriate action to maintain the safety of the process. In relief system, the goal is usually to achieve reasonable pressure (prevent high pressure or prevent low pressure). The capacity should be for the "worst-case" scenario, the action is automatic (it does not require a person), and it is entirely self-contained (no external power required).
The reason why it needs no electricity is that in case of an emergency like a power cut, the relief valve still must function. Therefore, it has to be self-contained to operate in the absence of any external power.
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