Search & Filtering
The heights of male are normally distributed with mean of 170 cm and standard deviation of 7.5cm. Find the probability that a randomly selected male has a height > 180 cm.
Customers arrive at a shopping mart randomly at a rate of 7 per hour.
a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8.
b) If a customer arrives at 11.30 am, find the probability that the next patient arrives before 11.45 am.
A glass in a fixed container is at a pressure of 4 atm and a temperature of 27 0C. What will be the pressure if it is heated to a temperature of 177 0 C?
40 cm 3 of an ideal gas at a temperature of 27 0 C is heated to 227 0 C in a freely expandable vessel. Determine the new volume of the gas.
A gas at a temperature of 127 0C is heated in a freely expandable container until its volume doubles. What is the new temperature of the gas?
A bubble rises from the bottom of a lake 30m deep and is four times its original volume just before breaking the surface. If the temperature is constant and the pressure at the bottom of the lake is p, what is the pressure at the water surface?
A bicycle pump of volume 72 cm3 is filled with air at a pressure of 0.1 MPa. The volume is reduced to 30 cm3. No air leaks from the pump and the temperature stays constant. Calculate the pressure of the compressed air.
A helium filled balloon has a volume of 2.75 dm3 at 20.0°C. The volume of the balloon changes to 2.07 dm3 when placed outside on a cold day. What is the temperature outside in °C?
A fixed mass of gas at 35 0C exhibits a pressure of 12 atm and occupies a volume of
65 cm3.
(a) Use Boyle’s law to calculate the volume the gas will occupy at 35 0C if the pressure is
increased to 45 atm.
(b) Use Charles’s law to calculate the volume the gas will occupy if the temperature is
increased to 135 0C while the pressure is held constant
The population in country C decreases, due to a lower birth rate. At the same time, there is an increase in the cost of fertilizer, which is used to grow vegetables. Explain how the market for vegetables will be affected
#339914 on Dec 2023