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The mechanical power output of a cyclist moving at a constant speed of 6.60m/s on a level road is 124W. What is the force exerted on the cyclist and the bicycle by thr air?
A 6.00-kg piece of solid copper metal at an initial temperature T is placed with 2.00 kg of ice that is initially at – 20.0oC. The ice is in an insulated container of negligible mass and no heat is exchanged with the surroundings. After thermal equilibrium is reached, there is 1.20 kg of ice and 0.80 kg of liquid water. What was the initial temperature of the piece of copper?
An association of City Mayors conducted a study to determine the average number of times
a family went to buy necessities in a week. They found that the mean is 4 times in a week. A
random sample of 20 families were asked and found a mean of 5 times in a week and a
standard deviation of 2. Use 5% significance level to test that the population mean is not
equal to 4. Assume that the population is normally distributed.
A glass flask whose volume is 1000.00 cm3 at 0.0oC is completely filled with mercury at this temperature. When flask and mercury are warmed to 55.0oC, 8.95 cm3of mercury overflow. If the coefficient of volume expansion of mercury is 18.0 X 10-5 K-1 compute the coefficient of volume expansion of the glass.
On average, four students visits the Mathematics and Statistics tutoring centre during a 5-minute period.
(a) Calculate the probability that three students visit the center during a 5- minute period.
(b) During a ten-minute period, what is the probability that at least 4 students visit the centre?
A sample of cisplatin is 65.02% platinum, 9.34% nitrogen, 2.02% hydrogen, and 23.63% chlorine. Determine the empirical formula.
two fair number cubes, labeled 1 through 6, are rolled and the results are recorded. how many outcomes are in the sample space?
Solve: What is the volume of a container that can hold 0.50 mole of gas at 25.0°C and 1.25atm?
Given: V1 = ?
n = 0.50 mole
T = 250C + 273.15= 298.15 K
P = 1.25 atm
R = 0.0821 L atm/ mol K
Solve: What will be the final volume of a 5.00 L He gas which contains 0.965 mole at 30°C and 1.00 atmosphere, if the amount of this gas is increased to 1.80 moles provided that the temperature and pressure remains unchanged?
Given: V1 = 5.00L V2 = ?
T𝟏 = 0.965 mole T𝟐 = 1.80 moles
Solve: A certain light bulb containing argon has a pressure of 1.20 atm at 18°C. If it
will be heated to 85°C at constant volume, what will be the resulting pressure? Given: P1 = 1.20 atm. P2 = ?
T1 = 180C + 273.15= 291.15 K T2 = 850C + 273.15=358.15 K
