100 people enter a room that is initially at a temperature of 15 C and pressure of 1bar. Each person losses heat to the air in the room at a constant rate of 300 W at a constant temperature of 37 C. The air mass in the room is 750 Kg, remains constant and its cv = 0.79 kJ/(Kg K), cp = 1.08 kJ/(Kg K) and the gas constant is 0.287 kJ/(Kg K). Air enters the room at a temperature 25 C at a mass flow rate of 0.01 Kg/s and leaves the room at the temperature of the room and at the same mass flow rate. The pressure remains constant during this process.
a) Determine the temperature of the air in the room after 30 minutes assuming that there is no heat transfer from the room to the surroundings because it is heavily insulated.
b) Calculate the entropy production for this process assuming that the people are at a temperature of 310 K.
In: Mechanical Engineering
Calculate ΔHr° of isomerization of propene (g) into cyclopropane (g) at 100°C
In: Chemistry
A random sample of n = 100 scores is selected from a normal population with a mean of μ = 60 and a standard deviation of σ = 20. What is the probability of obtaining a sample mean greater than M = 57?
In: Statistics and Probability
In a random sample of
100
audited estate tax returns, it was determined that the mean amount of additional tax owed was
$3478
with a standard deviation of
$2555
Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns.
The lower bound is $:
The upper bound is $:
In: Statistics and Probability
Why is 100% hexane not a good mobile phase for finding the polarity of aspirin and acetaminophen using thin layer chromatography?
In: Chemistry
An atom of 216Po decays by ? emission. If the emitted ? particle carries away 100% of the released energy as kinetic energy, how fast is it moving? The masses of an electron, an alpha particle, and several neutral isotopes are given, in terms of atomic mass units, to the right. In m/s
In: Physics
12. A standard IQ test has a normal distribution with a mean of 100 with a standard deviation of 15.
a) A score of 145 or higher on this exam is categorized in the gifted realm. What percent of people would be considered gifted? ___________
b) The people who score in the lowest 5% of the standard IQ test are considered to have “mental retardation”. What cutoff score is used to qualify for this benchmark? ___________
In: Statistics and Probability
If a random sample of 100 items is taken from a population in which the proportion of items having a desired attribute is p=0.45, what is the probability that the proportion of successes in the sample will be less than or equal to 0.49
The probability will be ____
In: Statistics and Probability
A study of 100 students in a local university gave the average GPA to be 3.1 with a standard deviation of.5. The same study revealed that in this sample, 20% are out of state students.
1. The lower bound, correct up to 3 decimal places for a 92% confidence interval for the actual GPA of students in this university is
2. The lower bound, correct up to 3 decimal places of a 90% confidence interval for the true proportion of out of state students is
3. The lower bound, correct up to 3 decimal places, of a 95% confidence interval for the true GPA with a sample size of 20, a sample mean of 3.1 ad a standard deviation of 0.5 is
4. The exact number of students that need be surveyed for the true GPA to be estimated within .5 units with a 96% confidence
In: Statistics and Probability
In a random sample of 100 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3494 with a standard deviation of $2527. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns.
In: Statistics and Probability